## Elementary Technical Mathematics

Published by Brooks Cole

# Chapter 6 - Section 6.3 - Equations with Parentheses - Exercises - Page 242: 32

w=5

#### Work Step by Step

Simplifying 7(w + -4) = w + 2 Reorder the terms: 7(-4 + w) = w + 2 (-4 * 7 + w * 7) = w + 2 (-28 + 7w) = w + 2 Reorder the terms: -28 + 7w = 2 + w Solving -28 + 7w = 2 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. -28 + 7w + -1w = 2 + w + -1w Combine like terms: 7w + -1w = 6w -28 + 6w = 2 + w + -1w Combine like terms: w + -1w = 0 -28 + 6w = 2 + 0 -28 + 6w = 2 Add '28' to each side of the equation. -28 + 28 + 6w = 2 + 28 Combine like terms: -28 + 28 = 0 0 + 6w = 2 + 28 6w = 2 + 28 Combine like terms: 2 + 28 = 30 6w = 30 Divide each side by '6'. w = 5 Simplifying w = 5

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