["Solving the Equation 2(2w + w) = 60: Step-by-Step Guide", "Understanding how to solve linear equations is essential for mastering algebra. One common problem students encounter is solving equations like 2(2w + w) = 60. In this article, we’ll break down the steps to solve this equation, explain key algebraic principles, and offer tips to help you excel in similar problems.", "---", "### What is the Equation?
\nThe equation 2(2w + w) = 60 involves simplifying expressions and balancing both sides of the equation. Our goal is to isolate the variable w and find its value.", "---", "### Step 1: Simplify the Expression Inside the Parentheses
\nStart by simplifying what’s inside the parentheses:
\n\[
\n2w + w = 3w
\n\]
\nSo the equation becomes:
\n\[
\n2(3w) = 60
\n\]", "---", "### Step 2: Multiply Inside the Parentheses
\nNow multiply 2 by 3w:
\n\[
\n2 \cdot 3w = 6w
\n\]
\nWhich simplifies the equation to:
\n\[
\n6w = 60
\n\]", "---", "### Step 3: Isolate the Variable w
\nTo solve for w, divide both sides by 6:
\n\[
\nw = \frac{60}{6} = 10
\n\]", "---", "### Final Answer
\n\[
\n\boxed{w = 10}
\n\]", "---", "### Why This Equation Matters
\nSolving equations like 2(2w + w) = 60 builds foundational algebra skills used in science, engineering, economics, and everyday problem-solving. It teaches you how to simplify expressions, perform inverse operations, and maintain balance on both sides of the equation.", "---", "### Tips for Solving Similar Equations
\n- Always simplify parentheses first.
\n- Combine like terms before multiplying.
\n- Use inverse operations to isolate the variable.
\n- Double-check your work by substituting the value back into the original equation.
\n- Practice word problems to apply algebra in real-world contexts.", "---", "### Conclusion
\nMastering the equation 2(2w + w) = 60 is easy once you follow clear steps: simplify, multiply, divide, and verify. Keep practicing, and you’ll confidently tackle more complex algebraic expressions ahead.", "---", "Keywords for SEO:

SolveLinearEquations #AlgebraTips #EquationSolving #MathEducation #2(2w + w) = 60 #StepByStepMath #AlgebraBasics", "---", "If you want to deepen your algebra skills, check out our comprehensive guides on linear equations, distributive property, and solving multi-step expressions—perfect for students and lifelong learners!"]