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Simplifying 3w + 5(2w + 4) = 85 Reorder the terms: 3w + 5(4 + 2w) = 85 3w + (4 * 5 + 2w * 5) = 85 3w + (20 + 10w) = 85 Reorder the terms: 20 + 3w + 10w = 85 Combine like terms: 3w + 10w = 13w 20 + 13w = 85 Solving 20 + 13w = 85 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 13w = 85 + -20 Combine like terms: 20 + -20 = 0 0 + 13w = 85 + -20 13w = 85 + -20 Combine like terms: 85 + -20 = 65 13w = 65 Divide each side by '13'. w = 5 Simplifying w = 5
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