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Simplifying -14 = 2(v + -2) + 8v Reorder the terms: -14 = 2(-2 + v) + 8v -14 = (-2 * 2 + v * 2) + 8v -14 = (-4 + 2v) + 8v Combine like terms: 2v + 8v = 10v -14 = -4 + 10v Solving -14 = -4 + 10v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-10v' to each side of the equation. -14 + -10v = -4 + 10v + -10v Combine like terms: 10v + -10v = 0 -14 + -10v = -4 + 0 -14 + -10v = -4 Add '14' to each side of the equation. -14 + 14 + -10v = -4 + 14 Combine like terms: -14 + 14 = 0 0 + -10v = -4 + 14 -10v = -4 + 14 Combine like terms: -4 + 14 = 10 -10v = 10 Divide each side by '-10'. v = -1 Simplifying v = -1
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