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Simplifying 3w + 35 = -8(w + 8) Reorder the terms: 35 + 3w = -8(w + 8) Reorder the terms: 35 + 3w = -8(8 + w) 35 + 3w = (8 * -8 + w * -8) 35 + 3w = (-64 + -8w) Solving 35 + 3w = -64 + -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. 35 + 3w + 8w = -64 + -8w + 8w Combine like terms: 3w + 8w = 11w 35 + 11w = -64 + -8w + 8w Combine like terms: -8w + 8w = 0 35 + 11w = -64 + 0 35 + 11w = -64 Add '-35' to each side of the equation. 35 + -35 + 11w = -64 + -35 Combine like terms: 35 + -35 = 0 0 + 11w = -64 + -35 11w = -64 + -35 Combine like terms: -64 + -35 = -99 11w = -99 Divide each side by '11'. w = -9 Simplifying w = -9
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