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Simplifying 5w + 12 = -15 + -4w Reorder the terms: 12 + 5w = -15 + -4w Solving 12 + 5w = -15 + -4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4w' to each side of the equation. 12 + 5w + 4w = -15 + -4w + 4w Combine like terms: 5w + 4w = 9w 12 + 9w = -15 + -4w + 4w Combine like terms: -4w + 4w = 0 12 + 9w = -15 + 0 12 + 9w = -15 Add '-12' to each side of the equation. 12 + -12 + 9w = -15 + -12 Combine like terms: 12 + -12 = 0 0 + 9w = -15 + -12 9w = -15 + -12 Combine like terms: -15 + -12 = -27 9w = -27 Divide each side by '9'. w = -3 Simplifying w = -3
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