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Simplifying 9(w + -1) + -1(-5w + -5) = 13w Reorder the terms: 9(-1 + w) + -1(-5w + -5) = 13w (-1 * 9 + w * 9) + -1(-5w + -5) = 13w (-9 + 9w) + -1(-5w + -5) = 13w Reorder the terms: -9 + 9w + -1(-5 + -5w) = 13w -9 + 9w + (-5 * -1 + -5w * -1) = 13w -9 + 9w + (5 + 5w) = 13w Reorder the terms: -9 + 5 + 9w + 5w = 13w Combine like terms: -9 + 5 = -4 -4 + 9w + 5w = 13w Combine like terms: 9w + 5w = 14w -4 + 14w = 13w Solving -4 + 14w = 13w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-13w' to each side of the equation. -4 + 14w + -13w = 13w + -13w Combine like terms: 14w + -13w = 1w -4 + 1w = 13w + -13w Combine like terms: 13w + -13w = 0 -4 + 1w = 0 Add '4' to each side of the equation. -4 + 4 + 1w = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 1w = 0 + 4 1w = 0 + 4 Combine like terms: 0 + 4 = 4 1w = 4 Divide each side by '1'. w = 4 Simplifying w = 4
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