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Simplifying 9 + -1(6v + 7) = 6v + -2 Reorder the terms: 9 + -1(7 + 6v) = 6v + -2 9 + (7 * -1 + 6v * -1) = 6v + -2 9 + (-7 + -6v) = 6v + -2 Combine like terms: 9 + -7 = 2 2 + -6v = 6v + -2 Reorder the terms: 2 + -6v = -2 + 6v Solving 2 + -6v = -2 + 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. 2 + -6v + -6v = -2 + 6v + -6v Combine like terms: -6v + -6v = -12v 2 + -12v = -2 + 6v + -6v Combine like terms: 6v + -6v = 0 2 + -12v = -2 + 0 2 + -12v = -2 Add '-2' to each side of the equation. 2 + -2 + -12v = -2 + -2 Combine like terms: 2 + -2 = 0 0 + -12v = -2 + -2 -12v = -2 + -2 Combine like terms: -2 + -2 = -4 -12v = -4 Divide each side by '-12'. v = 0.3333333333 Simplifying v = 0.3333333333
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