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Simplifying -8 = -2(v + 7) Reorder the terms: -8 = -2(7 + v) -8 = (7 * -2 + v * -2) -8 = (-14 + -2v) Solving -8 = -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. -8 + 2v = -14 + -2v + 2v Combine like terms: -2v + 2v = 0 -8 + 2v = -14 + 0 -8 + 2v = -14 Add '8' to each side of the equation. -8 + 8 + 2v = -14 + 8 Combine like terms: -8 + 8 = 0 0 + 2v = -14 + 8 2v = -14 + 8 Combine like terms: -14 + 8 = -6 2v = -6 Divide each side by '2'. v = -3 Simplifying v = -3
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