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Simplifying 5w + 15 = 9(w + -1) Reorder the terms: 15 + 5w = 9(w + -1) Reorder the terms: 15 + 5w = 9(-1 + w) 15 + 5w = (-1 * 9 + w * 9) 15 + 5w = (-9 + 9w) Solving 15 + 5w = -9 + 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. 15 + 5w + -9w = -9 + 9w + -9w Combine like terms: 5w + -9w = -4w 15 + -4w = -9 + 9w + -9w Combine like terms: 9w + -9w = 0 15 + -4w = -9 + 0 15 + -4w = -9 Add '-15' to each side of the equation. 15 + -15 + -4w = -9 + -15 Combine like terms: 15 + -15 = 0 0 + -4w = -9 + -15 -4w = -9 + -15 Combine like terms: -9 + -15 = -24 -4w = -24 Divide each side by '-4'. w = 6 Simplifying w = 6
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