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Simplifying -5w + 8(w + 3) = 39 Reorder the terms: -5w + 8(3 + w) = 39 -5w + (3 * 8 + w * 8) = 39 -5w + (24 + 8w) = 39 Reorder the terms: 24 + -5w + 8w = 39 Combine like terms: -5w + 8w = 3w 24 + 3w = 39 Solving 24 + 3w = 39 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 3w = 39 + -24 Combine like terms: 24 + -24 = 0 0 + 3w = 39 + -24 3w = 39 + -24 Combine like terms: 39 + -24 = 15 3w = 15 Divide each side by '3'. w = 5 Simplifying w = 5
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