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Simplifying 2(7v + 1) = -14 + -2v Reorder the terms: 2(1 + 7v) = -14 + -2v (1 * 2 + 7v * 2) = -14 + -2v (2 + 14v) = -14 + -2v Solving 2 + 14v = -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. 2 + 14v + 2v = -14 + -2v + 2v Combine like terms: 14v + 2v = 16v 2 + 16v = -14 + -2v + 2v Combine like terms: -2v + 2v = 0 2 + 16v = -14 + 0 2 + 16v = -14 Add '-2' to each side of the equation. 2 + -2 + 16v = -14 + -2 Combine like terms: 2 + -2 = 0 0 + 16v = -14 + -2 16v = -14 + -2 Combine like terms: -14 + -2 = -16 16v = -16 Divide each side by '16'. v = -1 Simplifying v = -1
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