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Simplifying 8(w + 8) = -3w + 9 Reorder the terms: 8(8 + w) = -3w + 9 (8 * 8 + w * 8) = -3w + 9 (64 + 8w) = -3w + 9 Reorder the terms: 64 + 8w = 9 + -3w Solving 64 + 8w = 9 + -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. 64 + 8w + 3w = 9 + -3w + 3w Combine like terms: 8w + 3w = 11w 64 + 11w = 9 + -3w + 3w Combine like terms: -3w + 3w = 0 64 + 11w = 9 + 0 64 + 11w = 9 Add '-64' to each side of the equation. 64 + -64 + 11w = 9 + -64 Combine like terms: 64 + -64 = 0 0 + 11w = 9 + -64 11w = 9 + -64 Combine like terms: 9 + -64 = -55 11w = -55 Divide each side by '11'. w = -5 Simplifying w = -5
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