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Simplifying -9w + 27 = -4(w + -3) Reorder the terms: 27 + -9w = -4(w + -3) Reorder the terms: 27 + -9w = -4(-3 + w) 27 + -9w = (-3 * -4 + w * -4) 27 + -9w = (12 + -4w) Solving 27 + -9w = 12 + -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. 27 + -9w + 4w = 12 + -4w + 4w Combine like terms: -9w + 4w = -5w 27 + -5w = 12 + -4w + 4w Combine like terms: -4w + 4w = 0 27 + -5w = 12 + 0 27 + -5w = 12 Add '-27' to each side of the equation. 27 + -27 + -5w = 12 + -27 Combine like terms: 27 + -27 = 0 0 + -5w = 12 + -27 -5w = 12 + -27 Combine like terms: 12 + -27 = -15 -5w = -15 Divide each side by '-5'. w = 3 Simplifying w = 3
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