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Simplifying 45w + 69 = 58w + 43 Reorder the terms: 69 + 45w = 58w + 43 Reorder the terms: 69 + 45w = 43 + 58w Solving 69 + 45w = 43 + 58w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-58w' to each side of the equation. 69 + 45w + -58w = 43 + 58w + -58w Combine like terms: 45w + -58w = -13w 69 + -13w = 43 + 58w + -58w Combine like terms: 58w + -58w = 0 69 + -13w = 43 + 0 69 + -13w = 43 Add '-69' to each side of the equation. 69 + -69 + -13w = 43 + -69 Combine like terms: 69 + -69 = 0 0 + -13w = 43 + -69 -13w = 43 + -69 Combine like terms: 43 + -69 = -26 -13w = -26 Divide each side by '-13'. w = 2 Simplifying w = 2
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