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Simplifying 2v + 7 = 5v + 13 Reorder the terms: 7 + 2v = 5v + 13 Reorder the terms: 7 + 2v = 13 + 5v Solving 7 + 2v = 13 + 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. 7 + 2v + -5v = 13 + 5v + -5v Combine like terms: 2v + -5v = -3v 7 + -3v = 13 + 5v + -5v Combine like terms: 5v + -5v = 0 7 + -3v = 13 + 0 7 + -3v = 13 Add '-7' to each side of the equation. 7 + -7 + -3v = 13 + -7 Combine like terms: 7 + -7 = 0 0 + -3v = 13 + -7 -3v = 13 + -7 Combine like terms: 13 + -7 = 6 -3v = 6 Divide each side by '-3'. v = -2 Simplifying v = -2
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