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Simplifying 9 + -5v = 12 + -1(6v + 7) Reorder the terms: 9 + -5v = 12 + -1(7 + 6v) 9 + -5v = 12 + (7 * -1 + 6v * -1) 9 + -5v = 12 + (-7 + -6v) Combine like terms: 12 + -7 = 5 9 + -5v = 5 + -6v Solving 9 + -5v = 5 + -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 + -5v + 6v = 5 + -6v + 6v Combine like terms: -5v + 6v = 1v 9 + 1v = 5 + -6v + 6v Combine like terms: -6v + 6v = 0 9 + 1v = 5 + 0 9 + 1v = 5 Add '-9' to each side of the equation. 9 + -9 + 1v = 5 + -9 Combine like terms: 9 + -9 = 0 0 + 1v = 5 + -9 1v = 5 + -9 Combine like terms: 5 + -9 = -4 1v = -4 Divide each side by '1'. v = -4 Simplifying v = -4
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