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Simplifying -29 = 5(w + -7) + -8w Reorder the terms: -29 = 5(-7 + w) + -8w -29 = (-7 * 5 + w * 5) + -8w -29 = (-35 + 5w) + -8w Combine like terms: 5w + -8w = -3w -29 = -35 + -3w Solving -29 = -35 + -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. -29 + 3w = -35 + -3w + 3w Combine like terms: -3w + 3w = 0 -29 + 3w = -35 + 0 -29 + 3w = -35 Add '29' to each side of the equation. -29 + 29 + 3w = -35 + 29 Combine like terms: -29 + 29 = 0 0 + 3w = -35 + 29 3w = -35 + 29 Combine like terms: -35 + 29 = -6 3w = -6 Divide each side by '3'. w = -2 Simplifying w = -2
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