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Simplifying 11 + 2v = 5v + -7 Reorder the terms: 11 + 2v = -7 + 5v Solving 11 + 2v = -7 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. 11 + 2v + -5v = -7 + 5v + -5v Combine like terms: 2v + -5v = -3v 11 + -3v = -7 + 5v + -5v Combine like terms: 5v + -5v = 0 11 + -3v = -7 + 0 11 + -3v = -7 Add '-11' to each side of the equation. 11 + -11 + -3v = -7 + -11 Combine like terms: 11 + -11 = 0 0 + -3v = -7 + -11 -3v = -7 + -11 Combine like terms: -7 + -11 = -18 -3v = -18 Divide each side by '-3'. v = 6 Simplifying v = 6
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