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Simplifying 9w + -9(-6w + 6) = 5(12w + -15) Reorder the terms: 9w + -9(6 + -6w) = 5(12w + -15) 9w + (6 * -9 + -6w * -9) = 5(12w + -15) 9w + (-54 + 54w) = 5(12w + -15) Reorder the terms: -54 + 9w + 54w = 5(12w + -15) Combine like terms: 9w + 54w = 63w -54 + 63w = 5(12w + -15) Reorder the terms: -54 + 63w = 5(-15 + 12w) -54 + 63w = (-15 * 5 + 12w * 5) -54 + 63w = (-75 + 60w) Solving -54 + 63w = -75 + 60w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-60w' to each side of the equation. -54 + 63w + -60w = -75 + 60w + -60w Combine like terms: 63w + -60w = 3w -54 + 3w = -75 + 60w + -60w Combine like terms: 60w + -60w = 0 -54 + 3w = -75 + 0 -54 + 3w = -75 Add '54' to each side of the equation. -54 + 54 + 3w = -75 + 54 Combine like terms: -54 + 54 = 0 0 + 3w = -75 + 54 3w = -75 + 54 Combine like terms: -75 + 54 = -21 3w = -21 Divide each side by '3'. w = -7 Simplifying w = -7
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