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Simplifying 2v + 4 + -2(-6v + -2) = 6(v + -1) Reorder the terms: 2v + 4 + -2(-2 + -6v) = 6(v + -1) 2v + 4 + (-2 * -2 + -6v * -2) = 6(v + -1) 2v + 4 + (4 + 12v) = 6(v + -1) Reorder the terms: 4 + 4 + 2v + 12v = 6(v + -1) Combine like terms: 4 + 4 = 8 8 + 2v + 12v = 6(v + -1) Combine like terms: 2v + 12v = 14v 8 + 14v = 6(v + -1) Reorder the terms: 8 + 14v = 6(-1 + v) 8 + 14v = (-1 * 6 + v * 6) 8 + 14v = (-6 + 6v) Solving 8 + 14v = -6 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. 8 + 14v + -6v = -6 + 6v + -6v Combine like terms: 14v + -6v = 8v 8 + 8v = -6 + 6v + -6v Combine like terms: 6v + -6v = 0 8 + 8v = -6 + 0 8 + 8v = -6 Add '-8' to each side of the equation. 8 + -8 + 8v = -6 + -8 Combine like terms: 8 + -8 = 0 0 + 8v = -6 + -8 8v = -6 + -8 Combine like terms: -6 + -8 = -14 8v = -14 Divide each side by '8'. v = -1.75 Simplifying v = -1.75
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