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Simplifying 2w + 2(3w + 8) = 64 Reorder the terms: 2w + 2(8 + 3w) = 64 2w + (8 * 2 + 3w * 2) = 64 2w + (16 + 6w) = 64 Reorder the terms: 16 + 2w + 6w = 64 Combine like terms: 2w + 6w = 8w 16 + 8w = 64 Solving 16 + 8w = 64 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 8w = 64 + -16 Combine like terms: 16 + -16 = 0 0 + 8w = 64 + -16 8w = 64 + -16 Combine like terms: 64 + -16 = 48 8w = 48 Divide each side by '8'. w = 6 Simplifying w = 6
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