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Simplifying -9(w + -8) = -5w + 40 Reorder the terms: -9(-8 + w) = -5w + 40 (-8 * -9 + w * -9) = -5w + 40 (72 + -9w) = -5w + 40 Reorder the terms: 72 + -9w = 40 + -5w Solving 72 + -9w = 40 + -5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5w' to each side of the equation. 72 + -9w + 5w = 40 + -5w + 5w Combine like terms: -9w + 5w = -4w 72 + -4w = 40 + -5w + 5w Combine like terms: -5w + 5w = 0 72 + -4w = 40 + 0 72 + -4w = 40 Add '-72' to each side of the equation. 72 + -72 + -4w = 40 + -72 Combine like terms: 72 + -72 = 0 0 + -4w = 40 + -72 -4w = 40 + -72 Combine like terms: 40 + -72 = -32 -4w = -32 Divide each side by '-4'. w = 8 Simplifying w = 8
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