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Simplifying -12(4v + -1) + 12 = 2(v + 12) Reorder the terms: -12(-1 + 4v) + 12 = 2(v + 12) (-1 * -12 + 4v * -12) + 12 = 2(v + 12) (12 + -48v) + 12 = 2(v + 12) Reorder the terms: 12 + 12 + -48v = 2(v + 12) Combine like terms: 12 + 12 = 24 24 + -48v = 2(v + 12) Reorder the terms: 24 + -48v = 2(12 + v) 24 + -48v = (12 * 2 + v * 2) 24 + -48v = (24 + 2v) Add '-24' to each side of the equation. 24 + -24 + -48v = 24 + -24 + 2v Combine like terms: 24 + -24 = 0 0 + -48v = 24 + -24 + 2v -48v = 24 + -24 + 2v Combine like terms: 24 + -24 = 0 -48v = 0 + 2v -48v = 2v Solving -48v = 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. -48v + -2v = 2v + -2v Combine like terms: -48v + -2v = -50v -50v = 2v + -2v Combine like terms: 2v + -2v = 0 -50v = 0 Divide each side by '-50'. v = 0.0 Simplifying v = 0.0
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