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Simplifying -2(6v + -2) = -14 + 6v Reorder the terms: -2(-2 + 6v) = -14 + 6v (-2 * -2 + 6v * -2) = -14 + 6v (4 + -12v) = -14 + 6v Solving 4 + -12v = -14 + 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. 4 + -12v + -6v = -14 + 6v + -6v Combine like terms: -12v + -6v = -18v 4 + -18v = -14 + 6v + -6v Combine like terms: 6v + -6v = 0 4 + -18v = -14 + 0 4 + -18v = -14 Add '-4' to each side of the equation. 4 + -4 + -18v = -14 + -4 Combine like terms: 4 + -4 = 0 0 + -18v = -14 + -4 -18v = -14 + -4 Combine like terms: -14 + -4 = -18 -18v = -18 Divide each side by '-18'. v = 1 Simplifying v = 1
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