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Simplifying 1194 = 2(24w + (24)(12) + 12w) Multiply 24 * 12 1194 = 2(24w + 288 + 12w) Reorder the terms: 1194 = 2(288 + 24w + 12w) Combine like terms: 24w + 12w = 36w 1194 = 2(288 + 36w) 1194 = (288 * 2 + 36w * 2) 1194 = (576 + 72w) Solving 1194 = 576 + 72w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-72w' to each side of the equation. 1194 + -72w = 576 + 72w + -72w Combine like terms: 72w + -72w = 0 1194 + -72w = 576 + 0 1194 + -72w = 576 Add '-1194' to each side of the equation. 1194 + -1194 + -72w = 576 + -1194 Combine like terms: 1194 + -1194 = 0 0 + -72w = 576 + -1194 -72w = 576 + -1194 Combine like terms: 576 + -1194 = -618 -72w = -618 Divide each side by '-72'. w = 8.583333333 Simplifying w = 8.583333333
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