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