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