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Simplifying 1 + v = 3 + -1v + 1 + 5 Reorder the terms: 1 + v = 3 + 1 + 5 + -1v Combine like terms: 3 + 1 = 4 1 + v = 4 + 5 + -1v Combine like terms: 4 + 5 = 9 1 + v = 9 + -1v Solving 1 + v = 9 + -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. 1 + v + v = 9 + -1v + v Combine like terms: v + v = 2v 1 + 2v = 9 + -1v + v Combine like terms: -1v + v = 0 1 + 2v = 9 + 0 1 + 2v = 9 Add '-1' to each side of the equation. 1 + -1 + 2v = 9 + -1 Combine like terms: 1 + -1 = 0 0 + 2v = 9 + -1 2v = 9 + -1 Combine like terms: 9 + -1 = 8 2v = 8 Divide each side by '2'. v = 4 Simplifying v = 4
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