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Simplifying 2(w + -3) + -1(9 + -8w) = 9w Reorder the terms: 2(-3 + w) + -1(9 + -8w) = 9w (-3 * 2 + w * 2) + -1(9 + -8w) = 9w (-6 + 2w) + -1(9 + -8w) = 9w -6 + 2w + (9 * -1 + -8w * -1) = 9w -6 + 2w + (-9 + 8w) = 9w Reorder the terms: -6 + -9 + 2w + 8w = 9w Combine like terms: -6 + -9 = -15 -15 + 2w + 8w = 9w Combine like terms: 2w + 8w = 10w -15 + 10w = 9w Solving -15 + 10w = 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. -15 + 10w + -9w = 9w + -9w Combine like terms: 10w + -9w = 1w -15 + 1w = 9w + -9w Combine like terms: 9w + -9w = 0 -15 + 1w = 0 Add '15' to each side of the equation. -15 + 15 + 1w = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 1w = 0 + 15 1w = 0 + 15 Combine like terms: 0 + 15 = 15 1w = 15 Divide each side by '1'. w = 15 Simplifying w = 15
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