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Simplifying -3w + -15 = 9(w + 5) Reorder the terms: -15 + -3w = 9(w + 5) Reorder the terms: -15 + -3w = 9(5 + w) -15 + -3w = (5 * 9 + w * 9) -15 + -3w = (45 + 9w) Solving -15 + -3w = 45 + 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. -15 + -3w + -9w = 45 + 9w + -9w Combine like terms: -3w + -9w = -12w -15 + -12w = 45 + 9w + -9w Combine like terms: 9w + -9w = 0 -15 + -12w = 45 + 0 -15 + -12w = 45 Add '15' to each side of the equation. -15 + 15 + -12w = 45 + 15 Combine like terms: -15 + 15 = 0 0 + -12w = 45 + 15 -12w = 45 + 15 Combine like terms: 45 + 15 = 60 -12w = 60 Divide each side by '-12'. w = -5 Simplifying w = -5
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