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Simplifying 7 + 2v = 6v + -11 Reorder the terms: 7 + 2v = -11 + 6v Solving 7 + 2v = -11 + 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. 7 + 2v + -6v = -11 + 6v + -6v Combine like terms: 2v + -6v = -4v 7 + -4v = -11 + 6v + -6v Combine like terms: 6v + -6v = 0 7 + -4v = -11 + 0 7 + -4v = -11 Add '-7' to each side of the equation. 7 + -7 + -4v = -11 + -7 Combine like terms: 7 + -7 = 0 0 + -4v = -11 + -7 -4v = -11 + -7 Combine like terms: -11 + -7 = -18 -4v = -18 Divide each side by '-4'. v = 4.5 Simplifying v = 4.5
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