Substitute to get \( 2(3w + w) = 64 \).

["SEO Article: How to Efficiently Solve ( 2(3w + w) = 64 ): A Step-by-Step Guide with Clear Explanation", "If you're trying to solve the equation ( 2(3w + w) = 64 ), you're not alone. This type of algebra problem is common in middle school math and often confuses many students seeking a quick, clear solution. In this SEO-optimized article, we break down the steps to solve ( 2(3w + w) = 64 ) efficiently, helping you build confidence and improve problem-solving speed.", "---", "### Why Understanding Equation Solving Matters (SEO: algebra equation solving)", "Mastering steps to solve linear equations like ( 2(3w + w) = 64 ) isn’t only useful for homework — it strengthens foundational math skills essential for higher-level subjects such as chemistry equations, financial planning, and engineering calculations. Search engines prioritize content that explains mathematical procedures clearly, making this a valuable topic for students, teachers, and lifelong learners.", "---", "### Step 1: Simplify the Expression Inside the Parentheses", "Start by simplifying the expression within the brackets:", "[\n3w + w = 3w + 1w = 4w\n]", "Tip: Always combine like terms early to reduce complexity — this improves both accuracy and clarity when explaining your solution, a key SEO advantage.", "So the equation becomes:", "[\n2(4w) = 64\n]", "---", "### Step 2: Multiply Inside the Parentheses", "Now multiply the 2 through the inside expression:", "[\n2 \ imes 4w = 8w\n]", "Thus:", "[\n8w = 64\n]", "---", "### Step 3: Solve for ( w ) by Isolating the Variable", "To isolate ( w ), divide both sides of the equation by 8:", "[\nw = \frac{64}{8}\n]", "[\nw = 8\n]", "This ensures your solution satisfies the original equation — a critical check praised by search algorithms for completeness and accuracy.", "Verification: Plug ( w = 8 ) back into the original equation:", "[\n2(3(8) + 8) = 2(24 + 8) = 2(32) = 64\n]", "The equality holds true, confirming your answer.", "---", "### Bonus: Best Practices and Common Pitfalls (SEO Tags: algebra help, error prevention)", "- Avoid distributing incorrectly: Never distribute the 2 before simplifying — simplify first to combine like terms.\n- Double-check arithmetic: A simple arithmetic mistake, such as miscalculating ( 2 \ imes 4 = 8 ), can alter the entire equation.\n- Always verify your answer: Plugging in the solution confirms correctness and boosts content quality in search rankings.", "---", "### Final Answer", "[\n\boxed{w = 8}\n]", "---", "### Why This Content Works for SEO", "- Uses clear headings and structured explanation — favored by search engines.\n- Provides step-by-step logic, improving user experience and dwell time.\n- Answers the primary search query directly and thoroughly.\n- Includes verification and error tips, increasing confidence and sharing potential.\n- Naturally integrates keywords like “solve linear equations,” “algebra substitution,” and “step-by-step algebra” optimized for educational searches.", "---", "Ready to solve similar equations? Try substituting variables, simplifying step-by-step, and verifying solutions — skills that unlock math confidence for any student or educator.", "---", "Keywords: ( 2(3w + w) = 64 ) solution, how to solve linear equations, algebraic substitution step-by-step, equation solving tips, algebra practice problems, clear algebra explanation, math help for students", "---", "Meta Description (for search engines):\nQuick step-by-step guide to solve ( 2(3w + w) = 64 ) efficiently. Learn how to simplify, multiply, isolate variables, and verify — perfect for students and educators seeking clear algebra solutions."]