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Simplifying 3(2w + 5) = 39 Reorder the terms: 3(5 + 2w) = 39 (5 * 3 + 2w * 3) = 39 (15 + 6w) = 39 Solving 15 + 6w = 39 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 6w = 39 + -15 Combine like terms: 15 + -15 = 0 0 + 6w = 39 + -15 6w = 39 + -15 Combine like terms: 39 + -15 = 24 6w = 24 Divide each side by '6'. w = 4 Simplifying w = 4
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