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Simplifying v + 45 = 1 + -1v Reorder the terms: 45 + v = 1 + -1v Solving 45 + v = 1 + -1v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add 'v' to each side of the equation. 45 + v + v = 1 + -1v + v Combine like terms: v + v = 2v 45 + 2v = 1 + -1v + v Combine like terms: -1v + v = 0 45 + 2v = 1 + 0 45 + 2v = 1 Add '-45' to each side of the equation. 45 + -45 + 2v = 1 + -45 Combine like terms: 45 + -45 = 0 0 + 2v = 1 + -45 2v = 1 + -45 Combine like terms: 1 + -45 = -44 2v = -44 Divide each side by '2'. v = -22 Simplifying v = -22
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