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Simplifying 83 = 5w + -12 Reorder the terms: 83 = -12 + 5w Solving 83 = -12 + 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 = -12 + 5w + -5w Combine like terms: 5w + -5w = 0 83 + -5w = -12 + 0 83 + -5w = -12 Add '-83' to each side of the equation. 83 + -83 + -5w = -12 + -83 Combine like terms: 83 + -83 = 0 0 + -5w = -12 + -83 -5w = -12 + -83 Combine like terms: -12 + -83 = -95 -5w = -95 Divide each side by '-5'. w = 19 Simplifying w = 19
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