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Simplifying -4(w + -1) = 7w + -40 Reorder the terms: -4(-1 + w) = 7w + -40 (-1 * -4 + w * -4) = 7w + -40 (4 + -4w) = 7w + -40 Reorder the terms: 4 + -4w = -40 + 7w Solving 4 + -4w = -40 + 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. 4 + -4w + -7w = -40 + 7w + -7w Combine like terms: -4w + -7w = -11w 4 + -11w = -40 + 7w + -7w Combine like terms: 7w + -7w = 0 4 + -11w = -40 + 0 4 + -11w = -40 Add '-4' to each side of the equation. 4 + -4 + -11w = -40 + -4 Combine like terms: 4 + -4 = 0 0 + -11w = -40 + -4 -11w = -40 + -4 Combine like terms: -40 + -4 = -44 -11w = -44 Divide each side by '-11'. w = 4 Simplifying w = 4
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