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Simplifying -4(w + 1) = 7w + 29 Reorder the terms: -4(1 + w) = 7w + 29 (1 * -4 + w * -4) = 7w + 29 (-4 + -4w) = 7w + 29 Reorder the terms: -4 + -4w = 29 + 7w Solving -4 + -4w = 29 + 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 = 29 + 7w + -7w Combine like terms: -4w + -7w = -11w -4 + -11w = 29 + 7w + -7w Combine like terms: 7w + -7w = 0 -4 + -11w = 29 + 0 -4 + -11w = 29 Add '4' to each side of the equation. -4 + 4 + -11w = 29 + 4 Combine like terms: -4 + 4 = 0 0 + -11w = 29 + 4 -11w = 29 + 4 Combine like terms: 29 + 4 = 33 -11w = 33 Divide each side by '-11'. w = -3 Simplifying w = -3
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