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Simplifying 6(3 + -4w) = 3(12w + -9) (3 * 6 + -4w * 6) = 3(12w + -9) (18 + -24w) = 3(12w + -9) Reorder the terms: 18 + -24w = 3(-9 + 12w) 18 + -24w = (-9 * 3 + 12w * 3) 18 + -24w = (-27 + 36w) Solving 18 + -24w = -27 + 36w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-36w' to each side of the equation. 18 + -24w + -36w = -27 + 36w + -36w Combine like terms: -24w + -36w = -60w 18 + -60w = -27 + 36w + -36w Combine like terms: 36w + -36w = 0 18 + -60w = -27 + 0 18 + -60w = -27 Add '-18' to each side of the equation. 18 + -18 + -60w = -27 + -18 Combine like terms: 18 + -18 = 0 0 + -60w = -27 + -18 -60w = -27 + -18 Combine like terms: -27 + -18 = -45 -60w = -45 Divide each side by '-60'. w = 0.75 Simplifying w = 0.75
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