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Simplifying 18(w + 4) = 12(w + -3) Reorder the terms: 18(4 + w) = 12(w + -3) (4 * 18 + w * 18) = 12(w + -3) (72 + 18w) = 12(w + -3) Reorder the terms: 72 + 18w = 12(-3 + w) 72 + 18w = (-3 * 12 + w * 12) 72 + 18w = (-36 + 12w) Solving 72 + 18w = -36 + 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. 72 + 18w + -12w = -36 + 12w + -12w Combine like terms: 18w + -12w = 6w 72 + 6w = -36 + 12w + -12w Combine like terms: 12w + -12w = 0 72 + 6w = -36 + 0 72 + 6w = -36 Add '-72' to each side of the equation. 72 + -72 + 6w = -36 + -72 Combine like terms: 72 + -72 = 0 0 + 6w = -36 + -72 6w = -36 + -72 Combine like terms: -36 + -72 = -108 6w = -108 Divide each side by '6'. w = -18 Simplifying w = -18
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