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Simplifying -2(v + -6) = 6v + -12 Reorder the terms: -2(-6 + v) = 6v + -12 (-6 * -2 + v * -2) = 6v + -12 (12 + -2v) = 6v + -12 Reorder the terms: 12 + -2v = -12 + 6v Solving 12 + -2v = -12 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. 12 + -2v + -6v = -12 + 6v + -6v Combine like terms: -2v + -6v = -8v 12 + -8v = -12 + 6v + -6v Combine like terms: 6v + -6v = 0 12 + -8v = -12 + 0 12 + -8v = -12 Add '-12' to each side of the equation. 12 + -12 + -8v = -12 + -12 Combine like terms: 12 + -12 = 0 0 + -8v = -12 + -12 -8v = -12 + -12 Combine like terms: -12 + -12 = -24 -8v = -24 Divide each side by '-8'. v = 3 Simplifying v = 3
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