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Simplifying 4w + -41 = -5(w + -8) Reorder the terms: -41 + 4w = -5(w + -8) Reorder the terms: -41 + 4w = -5(-8 + w) -41 + 4w = (-8 * -5 + w * -5) -41 + 4w = (40 + -5w) Solving -41 + 4w = 40 + -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 + 4w + 5w = 40 + -5w + 5w Combine like terms: 4w + 5w = 9w -41 + 9w = 40 + -5w + 5w Combine like terms: -5w + 5w = 0 -41 + 9w = 40 + 0 -41 + 9w = 40 Add '41' to each side of the equation. -41 + 41 + 9w = 40 + 41 Combine like terms: -41 + 41 = 0 0 + 9w = 40 + 41 9w = 40 + 41 Combine like terms: 40 + 41 = 81 9w = 81 Divide each side by '9'. w = 9 Simplifying w = 9
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