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Simplifying 2v + -1 + -1 = v + -3 + -1(-5 + v) Reorder the terms: -1 + -1 + 2v = v + -3 + -1(-5 + v) Combine like terms: -1 + -1 = -2 -2 + 2v = v + -3 + -1(-5 + v) -2 + 2v = v + -3 + (-5 * -1 + v * -1) -2 + 2v = v + -3 + (5 + -1v) Reorder the terms: -2 + 2v = -3 + 5 + v + -1v Combine like terms: -3 + 5 = 2 -2 + 2v = 2 + v + -1v Combine like terms: v + -1v = 0 -2 + 2v = 2 + 0 -2 + 2v = 2 Solving -2 + 2v = 2 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 2v = 2 + 2 Combine like terms: -2 + 2 = 0 0 + 2v = 2 + 2 2v = 2 + 2 Combine like terms: 2 + 2 = 4 2v = 4 Divide each side by '2'. v = 2 Simplifying v = 2
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