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Simplifying 15 + -1(9w + 2) + 4w = -12 Reorder the terms: 15 + -1(2 + 9w) + 4w = -12 15 + (2 * -1 + 9w * -1) + 4w = -12 15 + (-2 + -9w) + 4w = -12 Combine like terms: 15 + -2 = 13 13 + -9w + 4w = -12 Combine like terms: -9w + 4w = -5w 13 + -5w = -12 Solving 13 + -5w = -12 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -5w = -12 + -13 Combine like terms: 13 + -13 = 0 0 + -5w = -12 + -13 -5w = -12 + -13 Combine like terms: -12 + -13 = -25 -5w = -25 Divide each side by '-5'. w = 5 Simplifying w = 5
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