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Simplifying 45 + 36w = 66 + 23w + 31 Reorder the terms: 45 + 36w = 66 + 31 + 23w Combine like terms: 66 + 31 = 97 45 + 36w = 97 + 23w Solving 45 + 36w = 97 + 23w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-23w' to each side of the equation. 45 + 36w + -23w = 97 + 23w + -23w Combine like terms: 36w + -23w = 13w 45 + 13w = 97 + 23w + -23w Combine like terms: 23w + -23w = 0 45 + 13w = 97 + 0 45 + 13w = 97 Add '-45' to each side of the equation. 45 + -45 + 13w = 97 + -45 Combine like terms: 45 + -45 = 0 0 + 13w = 97 + -45 13w = 97 + -45 Combine like terms: 97 + -45 = 52 13w = 52 Divide each side by '13'. w = 4 Simplifying w = 4
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