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Simplifying -6(2 + -1v) = 12(v + 8) + -12 (2 * -6 + -1v * -6) = 12(v + 8) + -12 (-12 + 6v) = 12(v + 8) + -12 Reorder the terms: -12 + 6v = 12(8 + v) + -12 -12 + 6v = (8 * 12 + v * 12) + -12 -12 + 6v = (96 + 12v) + -12 Reorder the terms: -12 + 6v = 96 + -12 + 12v Combine like terms: 96 + -12 = 84 -12 + 6v = 84 + 12v Solving -12 + 6v = 84 + 12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-12v' to each side of the equation. -12 + 6v + -12v = 84 + 12v + -12v Combine like terms: 6v + -12v = -6v -12 + -6v = 84 + 12v + -12v Combine like terms: 12v + -12v = 0 -12 + -6v = 84 + 0 -12 + -6v = 84 Add '12' to each side of the equation. -12 + 12 + -6v = 84 + 12 Combine like terms: -12 + 12 = 0 0 + -6v = 84 + 12 -6v = 84 + 12 Combine like terms: 84 + 12 = 96 -6v = 96 Divide each side by '-6'. v = -16 Simplifying v = -16
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