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Simplifying 6v + 2 + -3(-2v + -2) = 2v + -6 Reorder the terms: 6v + 2 + -3(-2 + -2v) = 2v + -6 6v + 2 + (-2 * -3 + -2v * -3) = 2v + -6 6v + 2 + (6 + 6v) = 2v + -6 Reorder the terms: 2 + 6 + 6v + 6v = 2v + -6 Combine like terms: 2 + 6 = 8 8 + 6v + 6v = 2v + -6 Combine like terms: 6v + 6v = 12v 8 + 12v = 2v + -6 Reorder the terms: 8 + 12v = -6 + 2v Solving 8 + 12v = -6 + 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. 8 + 12v + -2v = -6 + 2v + -2v Combine like terms: 12v + -2v = 10v 8 + 10v = -6 + 2v + -2v Combine like terms: 2v + -2v = 0 8 + 10v = -6 + 0 8 + 10v = -6 Add '-8' to each side of the equation. 8 + -8 + 10v = -6 + -8 Combine like terms: 8 + -8 = 0 0 + 10v = -6 + -8 10v = -6 + -8 Combine like terms: -6 + -8 = -14 10v = -14 Divide each side by '10'. v = -1.4 Simplifying v = -1.4
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