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Simplifying -1(v + 9) + 7 = -7v + -12 Reorder the terms: -1(9 + v) + 7 = -7v + -12 (9 * -1 + v * -1) + 7 = -7v + -12 (-9 + -1v) + 7 = -7v + -12 Reorder the terms: -9 + 7 + -1v = -7v + -12 Combine like terms: -9 + 7 = -2 -2 + -1v = -7v + -12 Reorder the terms: -2 + -1v = -12 + -7v Solving -2 + -1v = -12 + -7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '7v' to each side of the equation. -2 + -1v + 7v = -12 + -7v + 7v Combine like terms: -1v + 7v = 6v -2 + 6v = -12 + -7v + 7v Combine like terms: -7v + 7v = 0 -2 + 6v = -12 + 0 -2 + 6v = -12 Add '2' to each side of the equation. -2 + 2 + 6v = -12 + 2 Combine like terms: -2 + 2 = 0 0 + 6v = -12 + 2 6v = -12 + 2 Combine like terms: -12 + 2 = -10 6v = -10 Divide each side by '6'. v = -1.666666667 Simplifying v = -1.666666667
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