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Simplifying 2(3w + 7) + 2w = 86 Reorder the terms: 2(7 + 3w) + 2w = 86 (7 * 2 + 3w * 2) + 2w = 86 (14 + 6w) + 2w = 86 Combine like terms: 6w + 2w = 8w 14 + 8w = 86 Solving 14 + 8w = 86 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 8w = 86 + -14 Combine like terms: 14 + -14 = 0 0 + 8w = 86 + -14 8w = 86 + -14 Combine like terms: 86 + -14 = 72 8w = 72 Divide each side by '8'. w = 9 Simplifying w = 9
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