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Simplifying -4w + 7 = 9(w + 8) Reorder the terms: 7 + -4w = 9(w + 8) Reorder the terms: 7 + -4w = 9(8 + w) 7 + -4w = (8 * 9 + w * 9) 7 + -4w = (72 + 9w) Solving 7 + -4w = 72 + 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. 7 + -4w + -9w = 72 + 9w + -9w Combine like terms: -4w + -9w = -13w 7 + -13w = 72 + 9w + -9w Combine like terms: 9w + -9w = 0 7 + -13w = 72 + 0 7 + -13w = 72 Add '-7' to each side of the equation. 7 + -7 + -13w = 72 + -7 Combine like terms: 7 + -7 = 0 0 + -13w = 72 + -7 -13w = 72 + -7 Combine like terms: 72 + -7 = 65 -13w = 65 Divide each side by '-13'. w = -5 Simplifying w = -5
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