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Simplifying 2w + 2(3w + 5) = 66 Reorder the terms: 2w + 2(5 + 3w) = 66 2w + (5 * 2 + 3w * 2) = 66 2w + (10 + 6w) = 66 Reorder the terms: 10 + 2w + 6w = 66 Combine like terms: 2w + 6w = 8w 10 + 8w = 66 Solving 10 + 8w = 66 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 8w = 66 + -10 Combine like terms: 10 + -10 = 0 0 + 8w = 66 + -10 8w = 66 + -10 Combine like terms: 66 + -10 = 56 8w = 56 Divide each side by '8'. w = 7 Simplifying w = 7
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