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Simplifying -35 = 5(w + -4) + -8w Reorder the terms: -35 = 5(-4 + w) + -8w -35 = (-4 * 5 + w * 5) + -8w -35 = (-20 + 5w) + -8w Combine like terms: 5w + -8w = -3w -35 = -20 + -3w Solving -35 = -20 + -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. -35 + 3w = -20 + -3w + 3w Combine like terms: -3w + 3w = 0 -35 + 3w = -20 + 0 -35 + 3w = -20 Add '35' to each side of the equation. -35 + 35 + 3w = -20 + 35 Combine like terms: -35 + 35 = 0 0 + 3w = -20 + 35 3w = -20 + 35 Combine like terms: -20 + 35 = 15 3w = 15 Divide each side by '3'. w = 5 Simplifying w = 5
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