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Simplifying -2v + 3v = -1(v + -1) + 5(-2v + -5) Combine like terms: -2v + 3v = 1v 1v = -1(v + -1) + 5(-2v + -5) Reorder the terms: 1v = -1(-1 + v) + 5(-2v + -5) 1v = (-1 * -1 + v * -1) + 5(-2v + -5) 1v = (1 + -1v) + 5(-2v + -5) Reorder the terms: 1v = 1 + -1v + 5(-5 + -2v) 1v = 1 + -1v + (-5 * 5 + -2v * 5) 1v = 1 + -1v + (-25 + -10v) Reorder the terms: 1v = 1 + -25 + -1v + -10v Combine like terms: 1 + -25 = -24 1v = -24 + -1v + -10v Combine like terms: -1v + -10v = -11v 1v = -24 + -11v Solving 1v = -24 + -11v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '11v' to each side of the equation. 1v + 11v = -24 + -11v + 11v Combine like terms: 1v + 11v = 12v 12v = -24 + -11v + 11v Combine like terms: -11v + 11v = 0 12v = -24 + 0 12v = -24 Divide each side by '12'. v = -2 Simplifying v = -2
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