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Simplifying -14 + 7v = -2(1 + -2v) -14 + 7v = (1 * -2 + -2v * -2) -14 + 7v = (-2 + 4v) Solving -14 + 7v = -2 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. -14 + 7v + -4v = -2 + 4v + -4v Combine like terms: 7v + -4v = 3v -14 + 3v = -2 + 4v + -4v Combine like terms: 4v + -4v = 0 -14 + 3v = -2 + 0 -14 + 3v = -2 Add '14' to each side of the equation. -14 + 14 + 3v = -2 + 14 Combine like terms: -14 + 14 = 0 0 + 3v = -2 + 14 3v = -2 + 14 Combine like terms: -2 + 14 = 12 3v = 12 Divide each side by '3'. v = 4 Simplifying v = 4
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