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Simplifying 7v + 1 = 5v + -1 Reorder the terms: 1 + 7v = 5v + -1 Reorder the terms: 1 + 7v = -1 + 5v Solving 1 + 7v = -1 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. 1 + 7v + -5v = -1 + 5v + -5v Combine like terms: 7v + -5v = 2v 1 + 2v = -1 + 5v + -5v Combine like terms: 5v + -5v = 0 1 + 2v = -1 + 0 1 + 2v = -1 Add '-1' to each side of the equation. 1 + -1 + 2v = -1 + -1 Combine like terms: 1 + -1 = 0 0 + 2v = -1 + -1 2v = -1 + -1 Combine like terms: -1 + -1 = -2 2v = -2 Divide each side by '2'. v = -1 Simplifying v = -1
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