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Simplifying -2(-8v + 2) + -2v = 6(v + -1) + -8 Reorder the terms: -2(2 + -8v) + -2v = 6(v + -1) + -8 (2 * -2 + -8v * -2) + -2v = 6(v + -1) + -8 (-4 + 16v) + -2v = 6(v + -1) + -8 Combine like terms: 16v + -2v = 14v -4 + 14v = 6(v + -1) + -8 Reorder the terms: -4 + 14v = 6(-1 + v) + -8 -4 + 14v = (-1 * 6 + v * 6) + -8 -4 + 14v = (-6 + 6v) + -8 Reorder the terms: -4 + 14v = -6 + -8 + 6v Combine like terms: -6 + -8 = -14 -4 + 14v = -14 + 6v Solving -4 + 14v = -14 + 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. -4 + 14v + -6v = -14 + 6v + -6v Combine like terms: 14v + -6v = 8v -4 + 8v = -14 + 6v + -6v Combine like terms: 6v + -6v = 0 -4 + 8v = -14 + 0 -4 + 8v = -14 Add '4' to each side of the equation. -4 + 4 + 8v = -14 + 4 Combine like terms: -4 + 4 = 0 0 + 8v = -14 + 4 8v = -14 + 4 Combine like terms: -14 + 4 = -10 8v = -10 Divide each side by '8'. v = -1.25 Simplifying v = -1.25
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