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Simplifying 9 = 5w + 8(w + -7) Reorder the terms: 9 = 5w + 8(-7 + w) 9 = 5w + (-7 * 8 + w * 8) 9 = 5w + (-56 + 8w) Reorder the terms: 9 = -56 + 5w + 8w Combine like terms: 5w + 8w = 13w 9 = -56 + 13w Solving 9 = -56 + 13w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-13w' to each side of the equation. 9 + -13w = -56 + 13w + -13w Combine like terms: 13w + -13w = 0 9 + -13w = -56 + 0 9 + -13w = -56 Add '-9' to each side of the equation. 9 + -9 + -13w = -56 + -9 Combine like terms: 9 + -9 = 0 0 + -13w = -56 + -9 -13w = -56 + -9 Combine like terms: -56 + -9 = -65 -13w = -65 Divide each side by '-13'. w = 5 Simplifying w = 5
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