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Simplifying 12 + 10w = 8w + 64 Reorder the terms: 12 + 10w = 64 + 8w Solving 12 + 10w = 64 + 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 = 64 + 8w + -8w Combine like terms: 10w + -8w = 2w 12 + 2w = 64 + 8w + -8w Combine like terms: 8w + -8w = 0 12 + 2w = 64 + 0 12 + 2w = 64 Add '-12' to each side of the equation. 12 + -12 + 2w = 64 + -12 Combine like terms: 12 + -12 = 0 0 + 2w = 64 + -12 2w = 64 + -12 Combine like terms: 64 + -12 = 52 2w = 52 Divide each side by '2'. w = 26 Simplifying w = 26
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