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Simplifying 9v + -7 = 5v + 13 Reorder the terms: -7 + 9v = 5v + 13 Reorder the terms: -7 + 9v = 13 + 5v Solving -7 + 9v = 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 + 9v + -5v = 13 + 5v + -5v Combine like terms: 9v + -5v = 4v -7 + 4v = 13 + 5v + -5v Combine like terms: 5v + -5v = 0 -7 + 4v = 13 + 0 -7 + 4v = 13 Add '7' to each side of the equation. -7 + 7 + 4v = 13 + 7 Combine like terms: -7 + 7 = 0 0 + 4v = 13 + 7 4v = 13 + 7 Combine like terms: 13 + 7 = 20 4v = 20 Divide each side by '4'. v = 5 Simplifying v = 5
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