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Simplifying -8v + 2(v + -3) = -12 Reorder the terms: -8v + 2(-3 + v) = -12 -8v + (-3 * 2 + v * 2) = -12 -8v + (-6 + 2v) = -12 Reorder the terms: -6 + -8v + 2v = -12 Combine like terms: -8v + 2v = -6v -6 + -6v = -12 Solving -6 + -6v = -12 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -6v = -12 + 6 Combine like terms: -6 + 6 = 0 0 + -6v = -12 + 6 -6v = -12 + 6 Combine like terms: -12 + 6 = -6 -6v = -6 Divide each side by '-6'. v = 1 Simplifying v = 1
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