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Simplifying 2(6w + -9) + -6 = 24 + -12w Reorder the terms: 2(-9 + 6w) + -6 = 24 + -12w (-9 * 2 + 6w * 2) + -6 = 24 + -12w (-18 + 12w) + -6 = 24 + -12w Reorder the terms: -18 + -6 + 12w = 24 + -12w Combine like terms: -18 + -6 = -24 -24 + 12w = 24 + -12w Solving -24 + 12w = 24 + -12w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '12w' to each side of the equation. -24 + 12w + 12w = 24 + -12w + 12w Combine like terms: 12w + 12w = 24w -24 + 24w = 24 + -12w + 12w Combine like terms: -12w + 12w = 0 -24 + 24w = 24 + 0 -24 + 24w = 24 Add '24' to each side of the equation. -24 + 24 + 24w = 24 + 24 Combine like terms: -24 + 24 = 0 0 + 24w = 24 + 24 24w = 24 + 24 Combine like terms: 24 + 24 = 48 24w = 48 Divide each side by '24'. w = 2 Simplifying w = 2
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