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Simplifying 102 = 5w + 17 Reorder the terms: 102 = 17 + 5w Solving 102 = 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. 102 + -5w = 17 + 5w + -5w Combine like terms: 5w + -5w = 0 102 + -5w = 17 + 0 102 + -5w = 17 Add '-102' to each side of the equation. 102 + -102 + -5w = 17 + -102 Combine like terms: 102 + -102 = 0 0 + -5w = 17 + -102 -5w = 17 + -102 Combine like terms: 17 + -102 = -85 -5w = -85 Divide each side by '-5'. w = 17 Simplifying w = 17
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