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Simplifying -14 + 2v = -2(v + -7) Reorder the terms: -14 + 2v = -2(-7 + v) -14 + 2v = (-7 * -2 + v * -2) -14 + 2v = (14 + -2v) Solving -14 + 2v = 14 + -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. -14 + 2v + 2v = 14 + -2v + 2v Combine like terms: 2v + 2v = 4v -14 + 4v = 14 + -2v + 2v Combine like terms: -2v + 2v = 0 -14 + 4v = 14 + 0 -14 + 4v = 14 Add '14' to each side of the equation. -14 + 14 + 4v = 14 + 14 Combine like terms: -14 + 14 = 0 0 + 4v = 14 + 14 4v = 14 + 14 Combine like terms: 14 + 14 = 28 4v = 28 Divide each side by '4'. v = 7 Simplifying v = 7
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