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Simplifying 3v + 11 = 9v + -7 Reorder the terms: 11 + 3v = 9v + -7 Reorder the terms: 11 + 3v = -7 + 9v Solving 11 + 3v = -7 + 9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-9v' to each side of the equation. 11 + 3v + -9v = -7 + 9v + -9v Combine like terms: 3v + -9v = -6v 11 + -6v = -7 + 9v + -9v Combine like terms: 9v + -9v = 0 11 + -6v = -7 + 0 11 + -6v = -7 Add '-11' to each side of the equation. 11 + -11 + -6v = -7 + -11 Combine like terms: 11 + -11 = 0 0 + -6v = -7 + -11 -6v = -7 + -11 Combine like terms: -7 + -11 = -18 -6v = -18 Divide each side by '-6'. v = 3 Simplifying v = 3
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