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Simplifying -4(w + -9) = 7w + 14 Reorder the terms: -4(-9 + w) = 7w + 14 (-9 * -4 + w * -4) = 7w + 14 (36 + -4w) = 7w + 14 Reorder the terms: 36 + -4w = 14 + 7w Solving 36 + -4w = 14 + 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. 36 + -4w + -7w = 14 + 7w + -7w Combine like terms: -4w + -7w = -11w 36 + -11w = 14 + 7w + -7w Combine like terms: 7w + -7w = 0 36 + -11w = 14 + 0 36 + -11w = 14 Add '-36' to each side of the equation. 36 + -36 + -11w = 14 + -36 Combine like terms: 36 + -36 = 0 0 + -11w = 14 + -36 -11w = 14 + -36 Combine like terms: 14 + -36 = -22 -11w = -22 Divide each side by '-11'. w = 2 Simplifying w = 2
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