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Simplifying 3(w + 5) + -6 = 15 Reorder the terms: 3(5 + w) + -6 = 15 (5 * 3 + w * 3) + -6 = 15 (15 + 3w) + -6 = 15 Reorder the terms: 15 + -6 + 3w = 15 Combine like terms: 15 + -6 = 9 9 + 3w = 15 Solving 9 + 3w = 15 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 3w = 15 + -9 Combine like terms: 9 + -9 = 0 0 + 3w = 15 + -9 3w = 15 + -9 Combine like terms: 15 + -9 = 6 3w = 6 Divide each side by '3'. w = 2 Simplifying w = 2
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