Simplifying gives \( 2(3w) = 60 \) or \( 6w = 60 \).

["# Simplifying ( 2(3w) = 60 ) or ( 6w = 60 ): A Step-by-Step Guide for Better Math Clarity", "Solving equations is a fundamental skill in algebra, and simplifying expressions like ( 2(3w) = 60 ) into ( 6w = 60 ) is one of the first steps toward finding the value of the variable ( w ). This article explains how to simplify this equation clearly and step-by-step—perfect for students, teachers, or anyone looking to strengthen their algebraic foundation.", "---", "## Why Simplify Linear Equations?", "Before diving into the solution, let’s understand the purpose: simplifying expressions reduces complexity, making it easier to isolate variables and solve equations accurately. In this case, turning ( 2(3w) = 60 ) into ( 6w = 60 ) prepares us for dividing both sides and finding ( w ) quickly.", "---", "## Start with the Original Equation", "Begin with:\n[ 2(3w) = 60 ]", "The expression ( 2(3w) ) means “2 multiplied by 3w,” or simply the product. When inside parentheses, a property called distributive property allows us to multiply inside the brackets.", "---", "## Apply the Distributive Property", "Simplify the left-hand side:\n[ 2 \ imes 3w = 6w ]\nSo the equation becomes:\n[ 6w = 60 ]", "This step removes the parentheses—the equation is now shorter and easier to work with.", "---", "## Solve for ( w ) by Isolating the Variable", "To solve ( 6w = 60 ), divide both sides of the equation by 6:", "[\n\frac{6w}{6} = \frac{60}{6}\n]", "This simplifies cleanly to:\n[ w = 10 ]", "---", "## Final Answer", "The solution to the equation ( 2(3w) = 60 ) is:\n[\n\boxed{w = 10}\n]", "---", "## Tips for Mastering Simplification", "- Always apply the distributive property before combining terms.\n- Simplify inner expressions first—parentheses come before exponents and multiplication.\n- Dividing both sides evenly maintains the equality.\n- Checking your answer by substituting ( w = 10 ) back into the original equation confirms correctness:\n ( 2(3 \ imes 10) = 2(30) = 60 ), which matches!", "---", "## Why This Matters in Real Math Learning", "Understanding how to simplify expressions like ( 2(3w) = 60 ) builds a strong foundation for more advanced algebra. Missteps in simplification lead to incorrect solutions, so mastering this step ensures you develop precision and confidence in solving linear equations.", "---", "Keywords: simplify algebra, solve 2(3w) = 60, linear equations, distributive property, algebra mastery, step-by-step equation solving, how to solve 6w = 60, math tips for students", "Meta Description: Simplify ( 2(3w) = 60 ) step-by-step to solve for ( w ). Learn why reducing expressions makes algebra easier with clear examples, tips, and verification."]