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Simplifying 7v + 1 + -2(-6v + -1) = 5(v + -1) Reorder the terms: 7v + 1 + -2(-1 + -6v) = 5(v + -1) 7v + 1 + (-1 * -2 + -6v * -2) = 5(v + -1) 7v + 1 + (2 + 12v) = 5(v + -1) Reorder the terms: 1 + 2 + 7v + 12v = 5(v + -1) Combine like terms: 1 + 2 = 3 3 + 7v + 12v = 5(v + -1) Combine like terms: 7v + 12v = 19v 3 + 19v = 5(v + -1) Reorder the terms: 3 + 19v = 5(-1 + v) 3 + 19v = (-1 * 5 + v * 5) 3 + 19v = (-5 + 5v) Solving 3 + 19v = -5 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. 3 + 19v + -5v = -5 + 5v + -5v Combine like terms: 19v + -5v = 14v 3 + 14v = -5 + 5v + -5v Combine like terms: 5v + -5v = 0 3 + 14v = -5 + 0 3 + 14v = -5 Add '-3' to each side of the equation. 3 + -3 + 14v = -5 + -3 Combine like terms: 3 + -3 = 0 0 + 14v = -5 + -3 14v = -5 + -3 Combine like terms: -5 + -3 = -8 14v = -8 Divide each side by '14'. v = -0.5714285714 Simplifying v = -0.5714285714
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