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Simplifying 9(w + -4) + -1(-2w + -5) = 10w Reorder the terms: 9(-4 + w) + -1(-2w + -5) = 10w (-4 * 9 + w * 9) + -1(-2w + -5) = 10w (-36 + 9w) + -1(-2w + -5) = 10w Reorder the terms: -36 + 9w + -1(-5 + -2w) = 10w -36 + 9w + (-5 * -1 + -2w * -1) = 10w -36 + 9w + (5 + 2w) = 10w Reorder the terms: -36 + 5 + 9w + 2w = 10w Combine like terms: -36 + 5 = -31 -31 + 9w + 2w = 10w Combine like terms: 9w + 2w = 11w -31 + 11w = 10w Solving -31 + 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. -31 + 11w + -10w = 10w + -10w Combine like terms: 11w + -10w = 1w -31 + 1w = 10w + -10w Combine like terms: 10w + -10w = 0 -31 + 1w = 0 Add '31' to each side of the equation. -31 + 31 + 1w = 0 + 31 Combine like terms: -31 + 31 = 0 0 + 1w = 0 + 31 1w = 0 + 31 Combine like terms: 0 + 31 = 31 1w = 31 Divide each side by '1'. w = 31 Simplifying w = 31
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