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Simplifying -3(-4v + 2) + -6v = 2(v + -3) + -2 Reorder the terms: -3(2 + -4v) + -6v = 2(v + -3) + -2 (2 * -3 + -4v * -3) + -6v = 2(v + -3) + -2 (-6 + 12v) + -6v = 2(v + -3) + -2 Combine like terms: 12v + -6v = 6v -6 + 6v = 2(v + -3) + -2 Reorder the terms: -6 + 6v = 2(-3 + v) + -2 -6 + 6v = (-3 * 2 + v * 2) + -2 -6 + 6v = (-6 + 2v) + -2 Reorder the terms: -6 + 6v = -6 + -2 + 2v Combine like terms: -6 + -2 = -8 -6 + 6v = -8 + 2v Solving -6 + 6v = -8 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. -6 + 6v + -2v = -8 + 2v + -2v Combine like terms: 6v + -2v = 4v -6 + 4v = -8 + 2v + -2v Combine like terms: 2v + -2v = 0 -6 + 4v = -8 + 0 -6 + 4v = -8 Add '6' to each side of the equation. -6 + 6 + 4v = -8 + 6 Combine like terms: -6 + 6 = 0 0 + 4v = -8 + 6 4v = -8 + 6 Combine like terms: -8 + 6 = -2 4v = -2 Divide each side by '4'. v = -0.5 Simplifying v = -0.5
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