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Simplifying 9(w + 6) + -1(5 + -5w) = 13w Reorder the terms: 9(6 + w) + -1(5 + -5w) = 13w (6 * 9 + w * 9) + -1(5 + -5w) = 13w (54 + 9w) + -1(5 + -5w) = 13w 54 + 9w + (5 * -1 + -5w * -1) = 13w 54 + 9w + (-5 + 5w) = 13w Reorder the terms: 54 + -5 + 9w + 5w = 13w Combine like terms: 54 + -5 = 49 49 + 9w + 5w = 13w Combine like terms: 9w + 5w = 14w 49 + 14w = 13w Solving 49 + 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. 49 + 14w + -13w = 13w + -13w Combine like terms: 14w + -13w = 1w 49 + 1w = 13w + -13w Combine like terms: 13w + -13w = 0 49 + 1w = 0 Add '-49' to each side of the equation. 49 + -49 + 1w = 0 + -49 Combine like terms: 49 + -49 = 0 0 + 1w = 0 + -49 1w = 0 + -49 Combine like terms: 0 + -49 = -49 1w = -49 Divide each side by '1'. w = -49 Simplifying w = -49
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