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Simplifying -12 + 7v = 2(6v + 7) + -6 Reorder the terms: -12 + 7v = 2(7 + 6v) + -6 -12 + 7v = (7 * 2 + 6v * 2) + -6 -12 + 7v = (14 + 12v) + -6 Reorder the terms: -12 + 7v = 14 + -6 + 12v Combine like terms: 14 + -6 = 8 -12 + 7v = 8 + 12v Solving -12 + 7v = 8 + 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 + 7v + -12v = 8 + 12v + -12v Combine like terms: 7v + -12v = -5v -12 + -5v = 8 + 12v + -12v Combine like terms: 12v + -12v = 0 -12 + -5v = 8 + 0 -12 + -5v = 8 Add '12' to each side of the equation. -12 + 12 + -5v = 8 + 12 Combine like terms: -12 + 12 = 0 0 + -5v = 8 + 12 -5v = 8 + 12 Combine like terms: 8 + 12 = 20 -5v = 20 Divide each side by '-5'. v = -4 Simplifying v = -4
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