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Simplifying 9(w + -9) + -1(5 + 5w) = 3w Reorder the terms: 9(-9 + w) + -1(5 + 5w) = 3w (-9 * 9 + w * 9) + -1(5 + 5w) = 3w (-81 + 9w) + -1(5 + 5w) = 3w -81 + 9w + (5 * -1 + 5w * -1) = 3w -81 + 9w + (-5 + -5w) = 3w Reorder the terms: -81 + -5 + 9w + -5w = 3w Combine like terms: -81 + -5 = -86 -86 + 9w + -5w = 3w Combine like terms: 9w + -5w = 4w -86 + 4w = 3w Solving -86 + 4w = 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. -86 + 4w + -3w = 3w + -3w Combine like terms: 4w + -3w = 1w -86 + 1w = 3w + -3w Combine like terms: 3w + -3w = 0 -86 + 1w = 0 Add '86' to each side of the equation. -86 + 86 + 1w = 0 + 86 Combine like terms: -86 + 86 = 0 0 + 1w = 0 + 86 1w = 0 + 86 Combine like terms: 0 + 86 = 86 1w = 86 Divide each side by '1'. w = 86 Simplifying w = 86
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