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