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Simplifying 2(3w + 5) + 2(w) = 58 Reorder the terms: 2(5 + 3w) + 2(w) = 58 (5 * 2 + 3w * 2) + 2(w) = 58 (10 + 6w) + 2(w) = 58 Combine like terms: 6w + 2w = 8w 10 + 8w = 58 Solving 10 + 8w = 58 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 = 58 + -10 Combine like terms: 10 + -10 = 0 0 + 8w = 58 + -10 8w = 58 + -10 Combine like terms: 58 + -10 = 48 8w = 48 Divide each side by '8'. w = 6 Simplifying w = 6
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