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Simplifying 9 = 4v + -2 + 7v Reorder the terms: 9 = -2 + 4v + 7v Combine like terms: 4v + 7v = 11v 9 = -2 + 11v Solving 9 = -2 + 11v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-11v' to each side of the equation. 9 + -11v = -2 + 11v + -11v Combine like terms: 11v + -11v = 0 9 + -11v = -2 + 0 9 + -11v = -2 Add '-9' to each side of the equation. 9 + -9 + -11v = -2 + -9 Combine like terms: 9 + -9 = 0 0 + -11v = -2 + -9 -11v = -2 + -9 Combine like terms: -2 + -9 = -11 -11v = -11 Divide each side by '-11'. v = 1 Simplifying v = 1
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