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Simplifying -11v + -1 + 14v = v + 19 Reorder the terms: -1 + -11v + 14v = v + 19 Combine like terms: -11v + 14v = 3v -1 + 3v = v + 19 Reorder the terms: -1 + 3v = 19 + v Solving -1 + 3v = 19 + v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-1v' to each side of the equation. -1 + 3v + -1v = 19 + v + -1v Combine like terms: 3v + -1v = 2v -1 + 2v = 19 + v + -1v Combine like terms: v + -1v = 0 -1 + 2v = 19 + 0 -1 + 2v = 19 Add '1' to each side of the equation. -1 + 1 + 2v = 19 + 1 Combine like terms: -1 + 1 = 0 0 + 2v = 19 + 1 2v = 19 + 1 Combine like terms: 19 + 1 = 20 2v = 20 Divide each side by '2'. v = 10 Simplifying v = 10
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