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Simplifying 6(12w + -18) = -12 + 6(11w + 4) Reorder the terms: 6(-18 + 12w) = -12 + 6(11w + 4) (-18 * 6 + 12w * 6) = -12 + 6(11w + 4) (-108 + 72w) = -12 + 6(11w + 4) Reorder the terms: -108 + 72w = -12 + 6(4 + 11w) -108 + 72w = -12 + (4 * 6 + 11w * 6) -108 + 72w = -12 + (24 + 66w) Combine like terms: -12 + 24 = 12 -108 + 72w = 12 + 66w Solving -108 + 72w = 12 + 66w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-66w' to each side of the equation. -108 + 72w + -66w = 12 + 66w + -66w Combine like terms: 72w + -66w = 6w -108 + 6w = 12 + 66w + -66w Combine like terms: 66w + -66w = 0 -108 + 6w = 12 + 0 -108 + 6w = 12 Add '108' to each side of the equation. -108 + 108 + 6w = 12 + 108 Combine like terms: -108 + 108 = 0 0 + 6w = 12 + 108 6w = 12 + 108 Combine like terms: 12 + 108 = 120 6w = 120 Divide each side by '6'. w = 20 Simplifying w = 20
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