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Simplifying 9v + 6 + -2(-3v + -1) = (v + -2) Reorder the terms: 9v + 6 + -2(-1 + -3v) = (v + -2) 9v + 6 + (-1 * -2 + -3v * -2) = (v + -2) 9v + 6 + (2 + 6v) = (v + -2) Reorder the terms: 6 + 2 + 9v + 6v = (v + -2) Combine like terms: 6 + 2 = 8 8 + 9v + 6v = (v + -2) Combine like terms: 9v + 6v = 15v 8 + 15v = (v + -2) Reorder the terms: 8 + 15v = (-2 + v) Remove parenthesis around (-2 + v) 8 + 15v = -2 + v Solving 8 + 15v = -2 + v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-1v' to each side of the equation. 8 + 15v + -1v = -2 + v + -1v Combine like terms: 15v + -1v = 14v 8 + 14v = -2 + v + -1v Combine like terms: v + -1v = 0 8 + 14v = -2 + 0 8 + 14v = -2 Add '-8' to each side of the equation. 8 + -8 + 14v = -2 + -8 Combine like terms: 8 + -8 = 0 0 + 14v = -2 + -8 14v = -2 + -8 Combine like terms: -2 + -8 = -10 14v = -10 Divide each side by '14'. v = -0.7142857143 Simplifying v = -0.7142857143
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