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Simplifying 9(w + 6) + -1(5 + -2w) = 10w Reorder the terms: 9(6 + w) + -1(5 + -2w) = 10w (6 * 9 + w * 9) + -1(5 + -2w) = 10w (54 + 9w) + -1(5 + -2w) = 10w 54 + 9w + (5 * -1 + -2w * -1) = 10w 54 + 9w + (-5 + 2w) = 10w Reorder the terms: 54 + -5 + 9w + 2w = 10w Combine like terms: 54 + -5 = 49 49 + 9w + 2w = 10w Combine like terms: 9w + 2w = 11w 49 + 11w = 10w Solving 49 + 11w = 10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10w' to each side of the equation. 49 + 11w + -10w = 10w + -10w Combine like terms: 11w + -10w = 1w 49 + 1w = 10w + -10w Combine like terms: 10w + -10w = 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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