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Simplifying 5(w + 3) + -1(5 + -9w) = 13w Reorder the terms: 5(3 + w) + -1(5 + -9w) = 13w (3 * 5 + w * 5) + -1(5 + -9w) = 13w (15 + 5w) + -1(5 + -9w) = 13w 15 + 5w + (5 * -1 + -9w * -1) = 13w 15 + 5w + (-5 + 9w) = 13w Reorder the terms: 15 + -5 + 5w + 9w = 13w Combine like terms: 15 + -5 = 10 10 + 5w + 9w = 13w Combine like terms: 5w + 9w = 14w 10 + 14w = 13w Solving 10 + 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. 10 + 14w + -13w = 13w + -13w Combine like terms: 14w + -13w = 1w 10 + 1w = 13w + -13w Combine like terms: 13w + -13w = 0 10 + 1w = 0 Add '-10' to each side of the equation. 10 + -10 + 1w = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 1w = 0 + -10 1w = 0 + -10 Combine like terms: 0 + -10 = -10 1w = -10 Divide each side by '1'. w = -10 Simplifying w = -10
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