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Simplifying v + 2 = 6v + -13 Reorder the terms: 2 + v = 6v + -13 Reorder the terms: 2 + v = -13 + 6v Solving 2 + v = -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. 2 + v + -6v = -13 + 6v + -6v Combine like terms: v + -6v = -5v 2 + -5v = -13 + 6v + -6v Combine like terms: 6v + -6v = 0 2 + -5v = -13 + 0 2 + -5v = -13 Add '-2' to each side of the equation. 2 + -2 + -5v = -13 + -2 Combine like terms: 2 + -2 = 0 0 + -5v = -13 + -2 -5v = -13 + -2 Combine like terms: -13 + -2 = -15 -5v = -15 Divide each side by '-5'. v = 3 Simplifying v = 3
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