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Simplifying -2(v + -3) = 4v + 12 Reorder the terms: -2(-3 + v) = 4v + 12 (-3 * -2 + v * -2) = 4v + 12 (6 + -2v) = 4v + 12 Reorder the terms: 6 + -2v = 12 + 4v Solving 6 + -2v = 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. 6 + -2v + -4v = 12 + 4v + -4v Combine like terms: -2v + -4v = -6v 6 + -6v = 12 + 4v + -4v Combine like terms: 4v + -4v = 0 6 + -6v = 12 + 0 6 + -6v = 12 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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