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Simplifying 9(6w + -17) = 3(15w + 7) + 6 Reorder the terms: 9(-17 + 6w) = 3(15w + 7) + 6 (-17 * 9 + 6w * 9) = 3(15w + 7) + 6 (-153 + 54w) = 3(15w + 7) + 6 Reorder the terms: -153 + 54w = 3(7 + 15w) + 6 -153 + 54w = (7 * 3 + 15w * 3) + 6 -153 + 54w = (21 + 45w) + 6 Reorder the terms: -153 + 54w = 21 + 6 + 45w Combine like terms: 21 + 6 = 27 -153 + 54w = 27 + 45w Solving -153 + 54w = 27 + 45w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-45w' to each side of the equation. -153 + 54w + -45w = 27 + 45w + -45w Combine like terms: 54w + -45w = 9w -153 + 9w = 27 + 45w + -45w Combine like terms: 45w + -45w = 0 -153 + 9w = 27 + 0 -153 + 9w = 27 Add '153' to each side of the equation. -153 + 153 + 9w = 27 + 153 Combine like terms: -153 + 153 = 0 0 + 9w = 27 + 153 9w = 27 + 153 Combine like terms: 27 + 153 = 180 9w = 180 Divide each side by '9'. w = 20 Simplifying w = 20
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