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