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Simplifying -4w + 6 = -9(w + -4) Reorder the terms: 6 + -4w = -9(w + -4) Reorder the terms: 6 + -4w = -9(-4 + w) 6 + -4w = (-4 * -9 + w * -9) 6 + -4w = (36 + -9w) Solving 6 + -4w = 36 + -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. 6 + -4w + 9w = 36 + -9w + 9w Combine like terms: -4w + 9w = 5w 6 + 5w = 36 + -9w + 9w Combine like terms: -9w + 9w = 0 6 + 5w = 36 + 0 6 + 5w = 36 Add '-6' to each side of the equation. 6 + -6 + 5w = 36 + -6 Combine like terms: 6 + -6 = 0 0 + 5w = 36 + -6 5w = 36 + -6 Combine like terms: 36 + -6 = 30 5w = 30 Divide each side by '5'. w = 6 Simplifying w = 6
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