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Simplifying 2v + 7 + -2(-5v + -1) = 3(v + -1) Reorder the terms: 2v + 7 + -2(-1 + -5v) = 3(v + -1) 2v + 7 + (-1 * -2 + -5v * -2) = 3(v + -1) 2v + 7 + (2 + 10v) = 3(v + -1) Reorder the terms: 7 + 2 + 2v + 10v = 3(v + -1) Combine like terms: 7 + 2 = 9 9 + 2v + 10v = 3(v + -1) Combine like terms: 2v + 10v = 12v 9 + 12v = 3(v + -1) Reorder the terms: 9 + 12v = 3(-1 + v) 9 + 12v = (-1 * 3 + v * 3) 9 + 12v = (-3 + 3v) Solving 9 + 12v = -3 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. 9 + 12v + -3v = -3 + 3v + -3v Combine like terms: 12v + -3v = 9v 9 + 9v = -3 + 3v + -3v Combine like terms: 3v + -3v = 0 9 + 9v = -3 + 0 9 + 9v = -3 Add '-9' to each side of the equation. 9 + -9 + 9v = -3 + -9 Combine like terms: 9 + -9 = 0 0 + 9v = -3 + -9 9v = -3 + -9 Combine like terms: -3 + -9 = -12 9v = -12 Divide each side by '9'. v = -1.333333333 Simplifying v = -1.333333333
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