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Simplifying -5w + -8 = -9(w + 4) Reorder the terms: -8 + -5w = -9(w + 4) Reorder the terms: -8 + -5w = -9(4 + w) -8 + -5w = (4 * -9 + w * -9) -8 + -5w = (-36 + -9w) Solving -8 + -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. -8 + -5w + 9w = -36 + -9w + 9w Combine like terms: -5w + 9w = 4w -8 + 4w = -36 + -9w + 9w Combine like terms: -9w + 9w = 0 -8 + 4w = -36 + 0 -8 + 4w = -36 Add '8' to each side of the equation. -8 + 8 + 4w = -36 + 8 Combine like terms: -8 + 8 = 0 0 + 4w = -36 + 8 4w = -36 + 8 Combine like terms: -36 + 8 = -28 4w = -28 Divide each side by '4'. w = -7 Simplifying w = -7
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