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Simplifying 3(2v + 4) = 2(v + -6) Reorder the terms: 3(4 + 2v) = 2(v + -6) (4 * 3 + 2v * 3) = 2(v + -6) (12 + 6v) = 2(v + -6) Reorder the terms: 12 + 6v = 2(-6 + v) 12 + 6v = (-6 * 2 + v * 2) 12 + 6v = (-12 + 2v) Solving 12 + 6v = -12 + 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. 12 + 6v + -2v = -12 + 2v + -2v Combine like terms: 6v + -2v = 4v 12 + 4v = -12 + 2v + -2v Combine like terms: 2v + -2v = 0 12 + 4v = -12 + 0 12 + 4v = -12 Add '-12' to each side of the equation. 12 + -12 + 4v = -12 + -12 Combine like terms: 12 + -12 = 0 0 + 4v = -12 + -12 4v = -12 + -12 Combine like terms: -12 + -12 = -24 4v = -24 Divide each side by '4'. v = -6 Simplifying v = -6
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