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Simplifying 12 + 10w = 8(w + 23) Reorder the terms: 12 + 10w = 8(23 + w) 12 + 10w = (23 * 8 + w * 8) 12 + 10w = (184 + 8w) Solving 12 + 10w = 184 + 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 = 184 + 8w + -8w Combine like terms: 10w + -8w = 2w 12 + 2w = 184 + 8w + -8w Combine like terms: 8w + -8w = 0 12 + 2w = 184 + 0 12 + 2w = 184 Add '-12' to each side of the equation. 12 + -12 + 2w = 184 + -12 Combine like terms: 12 + -12 = 0 0 + 2w = 184 + -12 2w = 184 + -12 Combine like terms: 184 + -12 = 172 2w = 172 Divide each side by '2'. w = 86 Simplifying w = 86
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