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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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