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Simplifying -1v + 3(v + 4) = -2(v + -6) Reorder the terms: -1v + 3(4 + v) = -2(v + -6) -1v + (4 * 3 + v * 3) = -2(v + -6) -1v + (12 + 3v) = -2(v + -6) Reorder the terms: 12 + -1v + 3v = -2(v + -6) Combine like terms: -1v + 3v = 2v 12 + 2v = -2(v + -6) Reorder the terms: 12 + 2v = -2(-6 + v) 12 + 2v = (-6 * -2 + v * -2) 12 + 2v = (12 + -2v) Add '-12' to each side of the equation. 12 + -12 + 2v = 12 + -12 + -2v Combine like terms: 12 + -12 = 0 0 + 2v = 12 + -12 + -2v 2v = 12 + -12 + -2v Combine like terms: 12 + -12 = 0 2v = 0 + -2v 2v = -2v Solving 2v = -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. 2v + 2v = -2v + 2v Combine like terms: 2v + 2v = 4v 4v = -2v + 2v Combine like terms: -2v + 2v = 0 4v = 0 Divide each side by '4'. v = 0 Simplifying v = 0
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