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Simplifying 12 + 10w = 8(w + 12) Reorder the terms: 12 + 10w = 8(12 + w) 12 + 10w = (12 * 8 + w * 8) 12 + 10w = (96 + 8w) Solving 12 + 10w = 96 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. 12 + 10w + -8w = 96 + 8w + -8w Combine like terms: 10w + -8w = 2w 12 + 2w = 96 + 8w + -8w Combine like terms: 8w + -8w = 0 12 + 2w = 96 + 0 12 + 2w = 96 Add '-12' to each side of the equation. 12 + -12 + 2w = 96 + -12 Combine like terms: 12 + -12 = 0 0 + 2w = 96 + -12 2w = 96 + -12 Combine like terms: 96 + -12 = 84 2w = 84 Divide each side by '2'. w = 42 Simplifying w = 42
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