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Simplifying -8(w + -1) = -9(w + 4) Reorder the terms: -8(-1 + w) = -9(w + 4) (-1 * -8 + w * -8) = -9(w + 4) (8 + -8w) = -9(w + 4) Reorder the terms: 8 + -8w = -9(4 + w) 8 + -8w = (4 * -9 + w * -9) 8 + -8w = (-36 + -9w) Solving 8 + -8w = -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 + -8w + 9w = -36 + -9w + 9w Combine like terms: -8w + 9w = 1w 8 + 1w = -36 + -9w + 9w Combine like terms: -9w + 9w = 0 8 + 1w = -36 + 0 8 + 1w = -36 Add '-8' to each side of the equation. 8 + -8 + 1w = -36 + -8 Combine like terms: 8 + -8 = 0 0 + 1w = -36 + -8 1w = -36 + -8 Combine like terms: -36 + -8 = -44 1w = -44 Divide each side by '1'. w = -44 Simplifying w = -44
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