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Simplifying -9w + -41 = -5(w + 5) Reorder the terms: -41 + -9w = -5(w + 5) Reorder the terms: -41 + -9w = -5(5 + w) -41 + -9w = (5 * -5 + w * -5) -41 + -9w = (-25 + -5w) Solving -41 + -9w = -25 + -5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5w' to each side of the equation. -41 + -9w + 5w = -25 + -5w + 5w Combine like terms: -9w + 5w = -4w -41 + -4w = -25 + -5w + 5w Combine like terms: -5w + 5w = 0 -41 + -4w = -25 + 0 -41 + -4w = -25 Add '41' to each side of the equation. -41 + 41 + -4w = -25 + 41 Combine like terms: -41 + 41 = 0 0 + -4w = -25 + 41 -4w = -25 + 41 Combine like terms: -25 + 41 = 16 -4w = 16 Divide each side by '-4'. w = -4 Simplifying w = -4
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