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Simplifying -5(w + 5) = 4w + -43 Reorder the terms: -5(5 + w) = 4w + -43 (5 * -5 + w * -5) = 4w + -43 (-25 + -5w) = 4w + -43 Reorder the terms: -25 + -5w = -43 + 4w Solving -25 + -5w = -43 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. -25 + -5w + -4w = -43 + 4w + -4w Combine like terms: -5w + -4w = -9w -25 + -9w = -43 + 4w + -4w Combine like terms: 4w + -4w = 0 -25 + -9w = -43 + 0 -25 + -9w = -43 Add '25' to each side of the equation. -25 + 25 + -9w = -43 + 25 Combine like terms: -25 + 25 = 0 0 + -9w = -43 + 25 -9w = -43 + 25 Combine like terms: -43 + 25 = -18 -9w = -18 Divide each side by '-9'. w = 2 Simplifying w = 2
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