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Simplifying 5(w + -5) = 3w + -43 Reorder the terms: 5(-5 + w) = 3w + -43 (-5 * 5 + w * 5) = 3w + -43 (-25 + 5w) = 3w + -43 Reorder the terms: -25 + 5w = -43 + 3w Solving -25 + 5w = -43 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. -25 + 5w + -3w = -43 + 3w + -3w Combine like terms: 5w + -3w = 2w -25 + 2w = -43 + 3w + -3w Combine like terms: 3w + -3w = 0 -25 + 2w = -43 + 0 -25 + 2w = -43 Add '25' to each side of the equation. -25 + 25 + 2w = -43 + 25 Combine like terms: -25 + 25 = 0 0 + 2w = -43 + 25 2w = -43 + 25 Combine like terms: -43 + 25 = -18 2w = -18 Divide each side by '2'. w = -9 Simplifying w = -9
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