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Simplifying 82 = 5w + 12 Reorder the terms: 82 = 12 + 5w Solving 82 = 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. 82 + -5w = 12 + 5w + -5w Combine like terms: 5w + -5w = 0 82 + -5w = 12 + 0 82 + -5w = 12 Add '-82' to each side of the equation. 82 + -82 + -5w = 12 + -82 Combine like terms: 82 + -82 = 0 0 + -5w = 12 + -82 -5w = 12 + -82 Combine like terms: 12 + -82 = -70 -5w = -70 Divide each side by '-5'. w = 14 Simplifying w = 14
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