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Simplifying 9 = 6(v + 1) + -12v + -9 Reorder the terms: 9 = 6(1 + v) + -12v + -9 9 = (1 * 6 + v * 6) + -12v + -9 9 = (6 + 6v) + -12v + -9 Reorder the terms: 9 = 6 + -9 + 6v + -12v Combine like terms: 6 + -9 = -3 9 = -3 + 6v + -12v Combine like terms: 6v + -12v = -6v 9 = -3 + -6v Solving 9 = -3 + -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. 9 + 6v = -3 + -6v + 6v Combine like terms: -6v + 6v = 0 9 + 6v = -3 + 0 9 + 6v = -3 Add '-9' to each side of the equation. 9 + -9 + 6v = -3 + -9 Combine like terms: 9 + -9 = 0 0 + 6v = -3 + -9 6v = -3 + -9 Combine like terms: -3 + -9 = -12 6v = -12 Divide each side by '6'. v = -2 Simplifying v = -2
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