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Simplifying 7v + 1 = 9v + -1 Reorder the terms: 1 + 7v = 9v + -1 Reorder the terms: 1 + 7v = -1 + 9v Solving 1 + 7v = -1 + 9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-9v' to each side of the equation. 1 + 7v + -9v = -1 + 9v + -9v Combine like terms: 7v + -9v = -2v 1 + -2v = -1 + 9v + -9v Combine like terms: 9v + -9v = 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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