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Simplifying 3(w + 1) + 11 = 2(w + 8) * 12 Reorder the terms: 3(1 + w) + 11 = 2(w + 8) * 12 (1 * 3 + w * 3) + 11 = 2(w + 8) * 12 (3 + 3w) + 11 = 2(w + 8) * 12 Reorder the terms: 3 + 11 + 3w = 2(w + 8) * 12 Combine like terms: 3 + 11 = 14 14 + 3w = 2(w + 8) * 12 Reorder the terms: 14 + 3w = 2(8 + w) * 12 Reorder the terms for easier multiplication: 14 + 3w = 2 * 12(8 + w) Multiply 2 * 12 14 + 3w = 24(8 + w) 14 + 3w = (8 * 24 + w * 24) 14 + 3w = (192 + 24w) Solving 14 + 3w = 192 + 24w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-24w' to each side of the equation. 14 + 3w + -24w = 192 + 24w + -24w Combine like terms: 3w + -24w = -21w 14 + -21w = 192 + 24w + -24w Combine like terms: 24w + -24w = 0 14 + -21w = 192 + 0 14 + -21w = 192 Add '-14' to each side of the equation. 14 + -14 + -21w = 192 + -14 Combine like terms: 14 + -14 = 0 0 + -21w = 192 + -14 -21w = 192 + -14 Combine like terms: 192 + -14 = 178 -21w = 178 Divide each side by '-21'. w = -8.476190476 Simplifying w = -8.476190476
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