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Simplifying -5w + 4 = -9(w + 4) Reorder the terms: 4 + -5w = -9(w + 4) Reorder the terms: 4 + -5w = -9(4 + w) 4 + -5w = (4 * -9 + w * -9) 4 + -5w = (-36 + -9w) Solving 4 + -5w = -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. 4 + -5w + 9w = -36 + -9w + 9w Combine like terms: -5w + 9w = 4w 4 + 4w = -36 + -9w + 9w Combine like terms: -9w + 9w = 0 4 + 4w = -36 + 0 4 + 4w = -36 Add '-4' to each side of the equation. 4 + -4 + 4w = -36 + -4 Combine like terms: 4 + -4 = 0 0 + 4w = -36 + -4 4w = -36 + -4 Combine like terms: -36 + -4 = -40 4w = -40 Divide each side by '4'. w = -10 Simplifying w = -10
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