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Simplifying 6w + 2(w + 7) = 30 Reorder the terms: 6w + 2(7 + w) = 30 6w + (7 * 2 + w * 2) = 30 6w + (14 + 2w) = 30 Reorder the terms: 14 + 6w + 2w = 30 Combine like terms: 6w + 2w = 8w 14 + 8w = 30 Solving 14 + 8w = 30 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 = 30 + -14 Combine like terms: 14 + -14 = 0 0 + 8w = 30 + -14 8w = 30 + -14 Combine like terms: 30 + -14 = 16 8w = 16 Divide each side by '8'. w = 2 Simplifying w = 2
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