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Simplifying 8(w + -9) = -3w + -6 Reorder the terms: 8(-9 + w) = -3w + -6 (-9 * 8 + w * 8) = -3w + -6 (-72 + 8w) = -3w + -6 Reorder the terms: -72 + 8w = -6 + -3w Solving -72 + 8w = -6 + -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 = -6 + -3w + 3w Combine like terms: 8w + 3w = 11w -72 + 11w = -6 + -3w + 3w Combine like terms: -3w + 3w = 0 -72 + 11w = -6 + 0 -72 + 11w = -6 Add '72' to each side of the equation. -72 + 72 + 11w = -6 + 72 Combine like terms: -72 + 72 = 0 0 + 11w = -6 + 72 11w = -6 + 72 Combine like terms: -6 + 72 = 66 11w = 66 Divide each side by '11'. w = 6 Simplifying w = 6
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