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Simplifying -35 = 8(w + -4) + -5w Reorder the terms: -35 = 8(-4 + w) + -5w -35 = (-4 * 8 + w * 8) + -5w -35 = (-32 + 8w) + -5w Combine like terms: 8w + -5w = 3w -35 = -32 + 3w Solving -35 = -32 + 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 = -32 + 3w + -3w Combine like terms: 3w + -3w = 0 -35 + -3w = -32 + 0 -35 + -3w = -32 Add '35' to each side of the equation. -35 + 35 + -3w = -32 + 35 Combine like terms: -35 + 35 = 0 0 + -3w = -32 + 35 -3w = -32 + 35 Combine like terms: -32 + 35 = 3 -3w = 3 Divide each side by '-3'. w = -1 Simplifying w = -1
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