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Simplifying 83 = 5w + -17 Reorder the terms: 83 = -17 + 5w Solving 83 = -17 + 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. 83 + -5w = -17 + 5w + -5w Combine like terms: 5w + -5w = 0 83 + -5w = -17 + 0 83 + -5w = -17 Add '-83' to each side of the equation. 83 + -83 + -5w = -17 + -83 Combine like terms: 83 + -83 = 0 0 + -5w = -17 + -83 -5w = -17 + -83 Combine like terms: -17 + -83 = -100 -5w = -100 Divide each side by '-5'. w = 20 Simplifying w = 20
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