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Simplifying 8(w + 3) = 5(w + -3) Reorder the terms: 8(3 + w) = 5(w + -3) (3 * 8 + w * 8) = 5(w + -3) (24 + 8w) = 5(w + -3) Reorder the terms: 24 + 8w = 5(-3 + w) 24 + 8w = (-3 * 5 + w * 5) 24 + 8w = (-15 + 5w) Solving 24 + 8w = -15 + 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. 24 + 8w + -5w = -15 + 5w + -5w Combine like terms: 8w + -5w = 3w 24 + 3w = -15 + 5w + -5w Combine like terms: 5w + -5w = 0 24 + 3w = -15 + 0 24 + 3w = -15 Add '-24' to each side of the equation. 24 + -24 + 3w = -15 + -24 Combine like terms: 24 + -24 = 0 0 + 3w = -15 + -24 3w = -15 + -24 Combine like terms: -15 + -24 = -39 3w = -39 Divide each side by '3'. w = -13 Simplifying w = -13
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