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Simplifying 64 = 2(3(w + 8)) + 2w Reorder the terms: 64 = 2(3(8 + w)) + 2w 64 = 2((8 * 3 + w * 3)) + 2w 64 = 2((24 + 3w)) + 2w 64 = (24 * 2 + 3w * 2) + 2w 64 = (48 + 6w) + 2w Combine like terms: 6w + 2w = 8w 64 = 48 + 8w Solving 64 = 48 + 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 = 48 + 8w + -8w Combine like terms: 8w + -8w = 0 64 + -8w = 48 + 0 64 + -8w = 48 Add '-64' to each side of the equation. 64 + -64 + -8w = 48 + -64 Combine like terms: 64 + -64 = 0 0 + -8w = 48 + -64 -8w = 48 + -64 Combine like terms: 48 + -64 = -16 -8w = -16 Divide each side by '-8'. w = 2 Simplifying w = 2
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