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Simplifying 9(w + -3) + -1(2 + -9w) = 17w Reorder the terms: 9(-3 + w) + -1(2 + -9w) = 17w (-3 * 9 + w * 9) + -1(2 + -9w) = 17w (-27 + 9w) + -1(2 + -9w) = 17w -27 + 9w + (2 * -1 + -9w * -1) = 17w -27 + 9w + (-2 + 9w) = 17w Reorder the terms: -27 + -2 + 9w + 9w = 17w Combine like terms: -27 + -2 = -29 -29 + 9w + 9w = 17w Combine like terms: 9w + 9w = 18w -29 + 18w = 17w Solving -29 + 18w = 17w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-17w' to each side of the equation. -29 + 18w + -17w = 17w + -17w Combine like terms: 18w + -17w = 1w -29 + 1w = 17w + -17w Combine like terms: 17w + -17w = 0 -29 + 1w = 0 Add '29' to each side of the equation. -29 + 29 + 1w = 0 + 29 Combine like terms: -29 + 29 = 0 0 + 1w = 0 + 29 1w = 0 + 29 Combine like terms: 0 + 29 = 29 1w = 29 Divide each side by '1'. w = 29 Simplifying w = 29
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