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Simplifying v + 7 = 11 + -1v + 4v Reorder the terms: 7 + v = 11 + -1v + 4v Combine like terms: -1v + 4v = 3v 7 + v = 11 + 3v Solving 7 + v = 11 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. 7 + v + -3v = 11 + 3v + -3v Combine like terms: v + -3v = -2v 7 + -2v = 11 + 3v + -3v Combine like terms: 3v + -3v = 0 7 + -2v = 11 + 0 7 + -2v = 11 Add '-7' to each side of the equation. 7 + -7 + -2v = 11 + -7 Combine like terms: 7 + -7 = 0 0 + -2v = 11 + -7 -2v = 11 + -7 Combine like terms: 11 + -7 = 4 -2v = 4 Divide each side by '-2'. v = -2 Simplifying v = -2
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