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Simplifying 7v + -13 = 5v + 5 Reorder the terms: -13 + 7v = 5v + 5 Reorder the terms: -13 + 7v = 5 + 5v Solving -13 + 7v = 5 + 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. -13 + 7v + -5v = 5 + 5v + -5v Combine like terms: 7v + -5v = 2v -13 + 2v = 5 + 5v + -5v Combine like terms: 5v + -5v = 0 -13 + 2v = 5 + 0 -13 + 2v = 5 Add '13' to each side of the equation. -13 + 13 + 2v = 5 + 13 Combine like terms: -13 + 13 = 0 0 + 2v = 5 + 13 2v = 5 + 13 Combine like terms: 5 + 13 = 18 2v = 18 Divide each side by '2'. v = 9 Simplifying v = 9
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