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Simplifying 117 = 5w + 17 Reorder the terms: 117 = 17 + 5w Solving 117 = 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. 117 + -5w = 17 + 5w + -5w Combine like terms: 5w + -5w = 0 117 + -5w = 17 + 0 117 + -5w = 17 Add '-117' to each side of the equation. 117 + -117 + -5w = 17 + -117 Combine like terms: 117 + -117 = 0 0 + -5w = 17 + -117 -5w = 17 + -117 Combine like terms: 17 + -117 = -100 -5w = -100 Divide each side by '-5'. w = 20 Simplifying w = 20
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