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Simplifying -4(w + -1) = -9w + -46 Reorder the terms: -4(-1 + w) = -9w + -46 (-1 * -4 + w * -4) = -9w + -46 (4 + -4w) = -9w + -46 Reorder the terms: 4 + -4w = -46 + -9w Solving 4 + -4w = -46 + -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 + -4w + 9w = -46 + -9w + 9w Combine like terms: -4w + 9w = 5w 4 + 5w = -46 + -9w + 9w Combine like terms: -9w + 9w = 0 4 + 5w = -46 + 0 4 + 5w = -46 Add '-4' to each side of the equation. 4 + -4 + 5w = -46 + -4 Combine like terms: 4 + -4 = 0 0 + 5w = -46 + -4 5w = -46 + -4 Combine like terms: -46 + -4 = -50 5w = -50 Divide each side by '5'. w = -10 Simplifying w = -10
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