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Simplifying 41 + 8w = 16 + 3w Solving 41 + 8w = 16 + 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. 41 + 8w + -3w = 16 + 3w + -3w Combine like terms: 8w + -3w = 5w 41 + 5w = 16 + 3w + -3w Combine like terms: 3w + -3w = 0 41 + 5w = 16 + 0 41 + 5w = 16 Add '-41' to each side of the equation. 41 + -41 + 5w = 16 + -41 Combine like terms: 41 + -41 = 0 0 + 5w = 16 + -41 5w = 16 + -41 Combine like terms: 16 + -41 = -25 5w = -25 Divide each side by '5'. w = -5 Simplifying w = -5
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