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Simplifying 64 = 2(3w + 10) + 2w Reorder the terms: 64 = 2(10 + 3w) + 2w 64 = (10 * 2 + 3w * 2) + 2w 64 = (20 + 6w) + 2w Combine like terms: 6w + 2w = 8w 64 = 20 + 8w Solving 64 = 20 + 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. 64 + -8w = 20 + 8w + -8w Combine like terms: 8w + -8w = 0 64 + -8w = 20 + 0 64 + -8w = 20 Add '-64' to each side of the equation. 64 + -64 + -8w = 20 + -64 Combine like terms: 64 + -64 = 0 0 + -8w = 20 + -64 -8w = 20 + -64 Combine like terms: 20 + -64 = -44 -8w = -44 Divide each side by '-8'. w = 5.5 Simplifying w = 5.5
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