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Simplifying 5w + 9 = -8(w + -6) Reorder the terms: 9 + 5w = -8(w + -6) Reorder the terms: 9 + 5w = -8(-6 + w) 9 + 5w = (-6 * -8 + w * -8) 9 + 5w = (48 + -8w) Solving 9 + 5w = 48 + -8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8w' to each side of the equation. 9 + 5w + 8w = 48 + -8w + 8w Combine like terms: 5w + 8w = 13w 9 + 13w = 48 + -8w + 8w Combine like terms: -8w + 8w = 0 9 + 13w = 48 + 0 9 + 13w = 48 Add '-9' to each side of the equation. 9 + -9 + 13w = 48 + -9 Combine like terms: 9 + -9 = 0 0 + 13w = 48 + -9 13w = 48 + -9 Combine like terms: 48 + -9 = 39 13w = 39 Divide each side by '13'. w = 3 Simplifying w = 3
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