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Simplifying -8w + 9 = 5(w + 7) Reorder the terms: 9 + -8w = 5(w + 7) Reorder the terms: 9 + -8w = 5(7 + w) 9 + -8w = (7 * 5 + w * 5) 9 + -8w = (35 + 5w) Solving 9 + -8w = 35 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. 9 + -8w + -5w = 35 + 5w + -5w Combine like terms: -8w + -5w = -13w 9 + -13w = 35 + 5w + -5w Combine like terms: 5w + -5w = 0 9 + -13w = 35 + 0 9 + -13w = 35 Add '-9' to each side of the equation. 9 + -9 + -13w = 35 + -9 Combine like terms: 9 + -9 = 0 0 + -13w = 35 + -9 -13w = 35 + -9 Combine like terms: 35 + -9 = 26 -13w = 26 Divide each side by '-13'. w = -2 Simplifying w = -2
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