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Simplifying 3(w + 5) + -6w = 39 Reorder the terms: 3(5 + w) + -6w = 39 (5 * 3 + w * 3) + -6w = 39 (15 + 3w) + -6w = 39 Combine like terms: 3w + -6w = -3w 15 + -3w = 39 Solving 15 + -3w = 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 + -3w = 39 + -15 Combine like terms: 15 + -15 = 0 0 + -3w = 39 + -15 -3w = 39 + -15 Combine like terms: 39 + -15 = 24 -3w = 24 Divide each side by '-3'. w = -8 Simplifying w = -8
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