["### Solve (2(3w + w) = 48): A Simple Algebraic Guide", "If you’re working through algebra problems and stumbled upon the equation (2(3w + w) = 48), you’re in the right place. This equation is a great example of how to simplify expressions and solve linear equations step-by-step—skills essential for mastering algebra quickly.", "---", "### Understanding the Equation", "Start with the given expression:
\n[ 2(3w + w) = 48 ]", "The left side contains parentheses, so first simplify inside them. Notice that (3w + w) combines like terms:", "[ 3w + w = 4w ]", "Now rewrite the equation accordingly:
\n[ 2(4w) = 48 ]", "Multiply (2) by (4w):
\n[ 8w = 48 ]", "---", "### Isolating the Variable (w)", "To solve for (w), divide both sides of the equation by 8:
\n[ w = \frac{48}{8} ]
\n[ w = 6 ]", "---", "### Verifying the Solution", "Plug (w = 6) back into the original equation to confirm:", "Left side:
\n[ 2(3(6) + 6) = 2(18 + 6) = 2(24) = 48 ]", "Matches the right side ❌ — verified!", "---", "### Why This Equation Matters", "Understanding how to simplify expressions like (2(3w + w)) and solve linear equations is foundational in algebra. Such equations appear in science, economics, and programming, where variables represent real-world quantities.", "---", "### Summary", "To solve:
\n[ 2(3w + w) = 48 ]
\n1. Combine like terms: (3w + w = 4w)
\n2. Multiply by 2: (2(4w) = 8w)
\n3. Solve: (8w = 48 \Rightarrow w = 6)", "---", "### Key Takeaways", "- Always simplify inside parentheses first.
\n- Combine like terms to reduce complexity.
\n- Use inverse operations to isolate variables.
\n- Always check your solution by substitution.", "Mastering these steps puts you firmly on the path to confident algebraic problem-solving. If you’re still unsure, revisit basic algebra rules—consistent practice builds strength and clarity!", "---", "### Related Keywords for SEO:
\n- Solve (2(3w + w) = 48)
\n- Algebraic equations for beginners
\n- How to simplify linear expressions
\n- Step-by-step linear equation solving
\n- Algebra homework help: (2(3w + w) = 48)", "---", "Ready to solve more equations? Start by simplifying expressions and isolating variables — your math journey just got clearer!"]
