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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 Combine like terms: 2v + -4v = -2v -6 + -2v = -12 Solving -6 + -2v = -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 + -2v = -12 + 6 Combine like terms: -6 + 6 = 0 0 + -2v = -12 + 6 -2v = -12 + 6 Combine like terms: -12 + 6 = -6 -2v = -6 Divide each side by '-2'. v = 3 Simplifying v = 3
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