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Simplifying 5(w + -1) = -4w + 40 Reorder the terms: 5(-1 + w) = -4w + 40 (-1 * 5 + w * 5) = -4w + 40 (-5 + 5w) = -4w + 40 Reorder the terms: -5 + 5w = 40 + -4w Solving -5 + 5w = 40 + -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. -5 + 5w + 4w = 40 + -4w + 4w Combine like terms: 5w + 4w = 9w -5 + 9w = 40 + -4w + 4w Combine like terms: -4w + 4w = 0 -5 + 9w = 40 + 0 -5 + 9w = 40 Add '5' to each side of the equation. -5 + 5 + 9w = 40 + 5 Combine like terms: -5 + 5 = 0 0 + 9w = 40 + 5 9w = 40 + 5 Combine like terms: 40 + 5 = 45 9w = 45 Divide each side by '9'. w = 5 Simplifying w = 5
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