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Simplifying -3v + 5 = 6v + -13 Reorder the terms: 5 + -3v = 6v + -13 Reorder the terms: 5 + -3v = -13 + 6v Solving 5 + -3v = -13 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. 5 + -3v + -6v = -13 + 6v + -6v Combine like terms: -3v + -6v = -9v 5 + -9v = -13 + 6v + -6v Combine like terms: 6v + -6v = 0 5 + -9v = -13 + 0 5 + -9v = -13 Add '-5' to each side of the equation. 5 + -5 + -9v = -13 + -5 Combine like terms: 5 + -5 = 0 0 + -9v = -13 + -5 -9v = -13 + -5 Combine like terms: -13 + -5 = -18 -9v = -18 Divide each side by '-9'. v = 2 Simplifying v = 2
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