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Simplifying 2(5v + -2v) = (v + -5) Combine like terms: 5v + -2v = 3v 2(3v) = (v + -5) Remove parenthesis around (3v) 2 * 3v = (v + -5) Multiply 2 * 3 6v = (v + -5) Reorder the terms: 6v = (-5 + v) Remove parenthesis around (-5 + v) 6v = -5 + v Solving 6v = -5 + v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-1v' to each side of the equation. 6v + -1v = -5 + v + -1v Combine like terms: 6v + -1v = 5v 5v = -5 + v + -1v Combine like terms: v + -1v = 0 5v = -5 + 0 5v = -5 Divide each side by '5'. v = -1 Simplifying v = -1
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