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Simplifying -14 + -8v = -3(2v + 8) Reorder the terms: -14 + -8v = -3(8 + 2v) -14 + -8v = (8 * -3 + 2v * -3) -14 + -8v = (-24 + -6v) Solving -14 + -8v = -24 + -6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6v' to each side of the equation. -14 + -8v + 6v = -24 + -6v + 6v Combine like terms: -8v + 6v = -2v -14 + -2v = -24 + -6v + 6v Combine like terms: -6v + 6v = 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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