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Simplifying -2(v + 4) = -8v + -14 Reorder the terms: -2(4 + v) = -8v + -14 (4 * -2 + v * -2) = -8v + -14 (-8 + -2v) = -8v + -14 Reorder the terms: -8 + -2v = -14 + -8v Solving -8 + -2v = -14 + -8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8v' to each side of the equation. -8 + -2v + 8v = -14 + -8v + 8v Combine like terms: -2v + 8v = 6v -8 + 6v = -14 + -8v + 8v Combine like terms: -8v + 8v = 0 -8 + 6v = -14 + 0 -8 + 6v = -14 Add '8' to each side of the equation. -8 + 8 + 6v = -14 + 8 Combine like terms: -8 + 8 = 0 0 + 6v = -14 + 8 6v = -14 + 8 Combine like terms: -14 + 8 = -6 6v = -6 Divide each side by '6'. v = -1 Simplifying v = -1
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