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Simplifying 11 + 5v = 2v + -6 + -7 Reorder the terms: 11 + 5v = -6 + -7 + 2v Combine like terms: -6 + -7 = -13 11 + 5v = -13 + 2v Solving 11 + 5v = -13 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. 11 + 5v + -2v = -13 + 2v + -2v Combine like terms: 5v + -2v = 3v 11 + 3v = -13 + 2v + -2v Combine like terms: 2v + -2v = 0 11 + 3v = -13 + 0 11 + 3v = -13 Add '-11' to each side of the equation. 11 + -11 + 3v = -13 + -11 Combine like terms: 11 + -11 = 0 0 + 3v = -13 + -11 3v = -13 + -11 Combine like terms: -13 + -11 = -24 3v = -24 Divide each side by '3'. v = -8 Simplifying v = -8
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