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Simplifying 2w + 2(3w + 29) = 138 Reorder the terms: 2w + 2(29 + 3w) = 138 2w + (29 * 2 + 3w * 2) = 138 2w + (58 + 6w) = 138 Reorder the terms: 58 + 2w + 6w = 138 Combine like terms: 2w + 6w = 8w 58 + 8w = 138 Solving 58 + 8w = 138 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-58' to each side of the equation. 58 + -58 + 8w = 138 + -58 Combine like terms: 58 + -58 = 0 0 + 8w = 138 + -58 8w = 138 + -58 Combine like terms: 138 + -58 = 80 8w = 80 Divide each side by '8'. w = 10 Simplifying w = 10
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