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Simplifying 6v + 3 + -2(-7v + -2) = 2(v + -1) Reorder the terms: 6v + 3 + -2(-2 + -7v) = 2(v + -1) 6v + 3 + (-2 * -2 + -7v * -2) = 2(v + -1) 6v + 3 + (4 + 14v) = 2(v + -1) Reorder the terms: 3 + 4 + 6v + 14v = 2(v + -1) Combine like terms: 3 + 4 = 7 7 + 6v + 14v = 2(v + -1) Combine like terms: 6v + 14v = 20v 7 + 20v = 2(v + -1) Reorder the terms: 7 + 20v = 2(-1 + v) 7 + 20v = (-1 * 2 + v * 2) 7 + 20v = (-2 + 2v) Solving 7 + 20v = -2 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. 7 + 20v + -2v = -2 + 2v + -2v Combine like terms: 20v + -2v = 18v 7 + 18v = -2 + 2v + -2v Combine like terms: 2v + -2v = 0 7 + 18v = -2 + 0 7 + 18v = -2 Add '-7' to each side of the equation. 7 + -7 + 18v = -2 + -7 Combine like terms: 7 + -7 = 0 0 + 18v = -2 + -7 18v = -2 + -7 Combine like terms: -2 + -7 = -9 18v = -9 Divide each side by '18'. v = -0.5 Simplifying v = -0.5
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