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Simplifying 9v + 7 = 3v + 13 Reorder the terms: 7 + 9v = 3v + 13 Reorder the terms: 7 + 9v = 13 + 3v Solving 7 + 9v = 13 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. 7 + 9v + -3v = 13 + 3v + -3v Combine like terms: 9v + -3v = 6v 7 + 6v = 13 + 3v + -3v Combine like terms: 3v + -3v = 0 7 + 6v = 13 + 0 7 + 6v = 13 Add '-7' to each side of the equation. 7 + -7 + 6v = 13 + -7 Combine like terms: 7 + -7 = 0 0 + 6v = 13 + -7 6v = 13 + -7 Combine like terms: 13 + -7 = 6 6v = 6 Divide each side by '6'. v = 1 Simplifying v = 1
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