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Simplifying -13 + 6v = 2v + -5 + 3v Reorder the terms: -13 + 6v = -5 + 2v + 3v Combine like terms: 2v + 3v = 5v -13 + 6v = -5 + 5v Solving -13 + 6v = -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 + 6v + -5v = -5 + 5v + -5v Combine like terms: 6v + -5v = 1v -13 + 1v = -5 + 5v + -5v Combine like terms: 5v + -5v = 0 -13 + 1v = -5 + 0 -13 + 1v = -5 Add '13' to each side of the equation. -13 + 13 + 1v = -5 + 13 Combine like terms: -13 + 13 = 0 0 + 1v = -5 + 13 1v = -5 + 13 Combine like terms: -5 + 13 = 8 1v = 8 Divide each side by '1'. v = 8 Simplifying v = 8
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