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Simplifying 3(w + 1) + 11 = 2(w + 8) Reorder the terms: 3(1 + w) + 11 = 2(w + 8) (1 * 3 + w * 3) + 11 = 2(w + 8) (3 + 3w) + 11 = 2(w + 8) Reorder the terms: 3 + 11 + 3w = 2(w + 8) Combine like terms: 3 + 11 = 14 14 + 3w = 2(w + 8) Reorder the terms: 14 + 3w = 2(8 + w) 14 + 3w = (8 * 2 + w * 2) 14 + 3w = (16 + 2w) Solving 14 + 3w = 16 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 14 + 3w + -2w = 16 + 2w + -2w Combine like terms: 3w + -2w = 1w 14 + 1w = 16 + 2w + -2w Combine like terms: 2w + -2w = 0 14 + 1w = 16 + 0 14 + 1w = 16 Add '-14' to each side of the equation. 14 + -14 + 1w = 16 + -14 Combine like terms: 14 + -14 = 0 0 + 1w = 16 + -14 1w = 16 + -14 Combine like terms: 16 + -14 = 2 1w = 2 Divide each side by '1'. w = 2 Simplifying w = 2
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