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Simplifying -14 = 6(v + -4) + -8v Reorder the terms: -14 = 6(-4 + v) + -8v -14 = (-4 * 6 + v * 6) + -8v -14 = (-24 + 6v) + -8v Combine like terms: 6v + -8v = -2v -14 = -24 + -2v Solving -14 = -24 + -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 + 2v = -24 + -2v + 2v Combine like terms: -2v + 2v = 0 -14 + 2v = -24 + 0 -14 + 2v = -24 Add '14' to each side of the equation. -14 + 14 + 2v = -24 + 14 Combine like terms: -14 + 14 = 0 0 + 2v = -24 + 14 2v = -24 + 14 Combine like terms: -24 + 14 = -10 2v = -10 Divide each side by '2'. v = -5 Simplifying v = -5
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