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Simplifying -8(w + -9) = 3w + 28 Reorder the terms: -8(-9 + w) = 3w + 28 (-9 * -8 + w * -8) = 3w + 28 (72 + -8w) = 3w + 28 Reorder the terms: 72 + -8w = 28 + 3w Solving 72 + -8w = 28 + 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. 72 + -8w + -3w = 28 + 3w + -3w Combine like terms: -8w + -3w = -11w 72 + -11w = 28 + 3w + -3w Combine like terms: 3w + -3w = 0 72 + -11w = 28 + 0 72 + -11w = 28 Add '-72' to each side of the equation. 72 + -72 + -11w = 28 + -72 Combine like terms: 72 + -72 = 0 0 + -11w = 28 + -72 -11w = 28 + -72 Combine like terms: 28 + -72 = -44 -11w = -44 Divide each side by '-11'. w = 4 Simplifying w = 4
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