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Simplifying 83 = 5w + 13 Reorder the terms: 83 = 13 + 5w Solving 83 = 13 + 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 = 13 + 5w + -5w Combine like terms: 5w + -5w = 0 83 + -5w = 13 + 0 83 + -5w = 13 Add '-83' to each side of the equation. 83 + -83 + -5w = 13 + -83 Combine like terms: 83 + -83 = 0 0 + -5w = 13 + -83 -5w = 13 + -83 Combine like terms: 13 + -83 = -70 -5w = -70 Divide each side by '-5'. w = 14 Simplifying w = 14
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