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