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Simplifying 2v + -4 = 2(6 + -7v) Reorder the terms: -4 + 2v = 2(6 + -7v) -4 + 2v = (6 * 2 + -7v * 2) -4 + 2v = (12 + -14v) Solving -4 + 2v = 12 + -14v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '14v' to each side of the equation. -4 + 2v + 14v = 12 + -14v + 14v Combine like terms: 2v + 14v = 16v -4 + 16v = 12 + -14v + 14v Combine like terms: -14v + 14v = 0 -4 + 16v = 12 + 0 -4 + 16v = 12 Add '4' to each side of the equation. -4 + 4 + 16v = 12 + 4 Combine like terms: -4 + 4 = 0 0 + 16v = 12 + 4 16v = 12 + 4 Combine like terms: 12 + 4 = 16 16v = 16 Divide each side by '16'. v = 1 Simplifying v = 1
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