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Simplifying 8(w + 9) = -7w + -48 Reorder the terms: 8(9 + w) = -7w + -48 (9 * 8 + w * 8) = -7w + -48 (72 + 8w) = -7w + -48 Reorder the terms: 72 + 8w = -48 + -7w Solving 72 + 8w = -48 + -7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '7w' to each side of the equation. 72 + 8w + 7w = -48 + -7w + 7w Combine like terms: 8w + 7w = 15w 72 + 15w = -48 + -7w + 7w Combine like terms: -7w + 7w = 0 72 + 15w = -48 + 0 72 + 15w = -48 Add '-72' to each side of the equation. 72 + -72 + 15w = -48 + -72 Combine like terms: 72 + -72 = 0 0 + 15w = -48 + -72 15w = -48 + -72 Combine like terms: -48 + -72 = -120 15w = -120 Divide each side by '15'. w = -8 Simplifying w = -8
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