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Simplifying 8w + -29 = -3(w + -5) Reorder the terms: -29 + 8w = -3(w + -5) Reorder the terms: -29 + 8w = -3(-5 + w) -29 + 8w = (-5 * -3 + w * -3) -29 + 8w = (15 + -3w) Solving -29 + 8w = 15 + -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 + 8w + 3w = 15 + -3w + 3w Combine like terms: 8w + 3w = 11w -29 + 11w = 15 + -3w + 3w Combine like terms: -3w + 3w = 0 -29 + 11w = 15 + 0 -29 + 11w = 15 Add '29' to each side of the equation. -29 + 29 + 11w = 15 + 29 Combine like terms: -29 + 29 = 0 0 + 11w = 15 + 29 11w = 15 + 29 Combine like terms: 15 + 29 = 44 11w = 44 Divide each side by '11'. w = 4 Simplifying w = 4
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