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Simplifying -2 = 6(v + -2) + -8v Reorder the terms: -2 = 6(-2 + v) + -8v -2 = (-2 * 6 + v * 6) + -8v -2 = (-12 + 6v) + -8v Combine like terms: 6v + -8v = -2v -2 = -12 + -2v Solving -2 = -12 + -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. -2 + 2v = -12 + -2v + 2v Combine like terms: -2v + 2v = 0 -2 + 2v = -12 + 0 -2 + 2v = -12 Add '2' to each side of the equation. -2 + 2 + 2v = -12 + 2 Combine like terms: -2 + 2 = 0 0 + 2v = -12 + 2 2v = -12 + 2 Combine like terms: -12 + 2 = -10 2v = -10 Divide each side by '2'. v = -5 Simplifying v = -5
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