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Simplifying -4(w + -6) = 7w + 35 Reorder the terms: -4(-6 + w) = 7w + 35 (-6 * -4 + w * -4) = 7w + 35 (24 + -4w) = 7w + 35 Reorder the terms: 24 + -4w = 35 + 7w Solving 24 + -4w = 35 + 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. 24 + -4w + -7w = 35 + 7w + -7w Combine like terms: -4w + -7w = -11w 24 + -11w = 35 + 7w + -7w Combine like terms: 7w + -7w = 0 24 + -11w = 35 + 0 24 + -11w = 35 Add '-24' to each side of the equation. 24 + -24 + -11w = 35 + -24 Combine like terms: 24 + -24 = 0 0 + -11w = 35 + -24 -11w = 35 + -24 Combine like terms: 35 + -24 = 11 -11w = 11 Divide each side by '-11'. w = -1 Simplifying w = -1
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