Substitute the expressions: \( 2(3w + w) = 64 \).
["Article Title: Simple Step-by-Step Substitution: How to Solve ( 2(3w + w) = 64 )", "---", "SEO Meta Description:\nLearn how to substitute and simplify the expression ( 2(3w + w) = 64 ) with clear, step-by-step instructions. Get the solution and master linear equation solving for better algebraic skills.", "---", "### Mastering Substitution in Linear Equations: Solve ( 2(3w + w) = 64 )", "Algebraic substitution is a fundamental skill that helps students and math learners simplify and solve equations efficiently. In this article, we focus on one key problem:", "Solve ( 2(3w + w) = 64 )", "Understanding how to substitute and combine like terms is essential to isolate the variable and find the value of ( w ). Let’s break it down clearly and concisely.", "---", "### Step 1: Understand the Expression", "Start by recognizing the expression inside the parentheses:\n( 3w + w )", "Since ( 3w ) and ( w ) both contain the variable ( w ), they are like terms and can be combined:\n[\n3w + w = 4w\n]", "Now your equation becomes:\n[\n2(4w) = 64\n]", "---", "### Step 2: Perform the Substitution", "Substitute ( 4w ) back into the equation:\n[\n2(4w) = 64\n]", "Multiply ( 2 ) by ( 4w ):\n[\n8w = 64\n]", "---", "### Step 3: Solve for ( w )", "Now solve the simplified equation:\n[\n8w = 64\n]", "Divide both sides by 8:\n[\nw = \frac{64}{8} = 8\n]", "---", "### Final Answer", "[\n\boxed{w = 8}\n]", "---", "### Why This Matters in Algebra", "The process shown—substituting, combining like terms, simplifying, and isolating the variable—forms the backbone of solving equations. Substituting expressions like ( 3w + w ) correctly ensures accurate simplification and leads directly to the right solution.", "By practicing substitution in equations such as ( 2(3w + w) = 64 ), learners strengthen their understanding of algebraic manipulation and pave the way for more complex problem-solving.", "---", "### Key Takeaways", "- Combine like terms before substitution to simplify expressions.\n- Distribute carefully when multiplying inside parentheses.\n- Always isolate the variable to solve for ( w ).\n- Substitution is key to transforming complex expressions into solvable equations.", "---", "Keywords for SEO:\n- Solve ( 2(3w + w) = 64 )\n- Substitute algebraic expressions\n- How to simplify linear equations\n- Algebraic substitution tutorial\n- Solve for ( w ) in equations\n- Step-by-step equation solving", "Search Intent:\nUsers searching for this topic want clear, simple steps to solve linear equations involving substitution, with emphasis on correct algebraic manipulation to find ( w ).", "---", "Start mastering substitutions today—your next equation will be easier!\nTo deepen your skills, try replacing ( 3w + w ) with simpler numerics and explore more complex expressions. Practice makes perfect!", "---", "Related Resources:\n- How to Simplify Expressions Like ( 3w + w )\n- Solving Multi-Step Algebraic Equations\n- Step-by-Step Guide to Solving Linear Equations", "---", "By understanding and applying substitution, you build confidence and mastery in algebra—essential for advanced math success!"]
