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Simplifying 14v + v + -11v + 3v + -7 = 7 Reorder the terms: -7 + 14v + v + -11v + 3v = 7 Combine like terms: 14v + v = 15v -7 + 15v + -11v + 3v = 7 Combine like terms: 15v + -11v = 4v -7 + 4v + 3v = 7 Combine like terms: 4v + 3v = 7v -7 + 7v = 7 Solving -7 + 7v = 7 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 7v = 7 + 7 Combine like terms: -7 + 7 = 0 0 + 7v = 7 + 7 7v = 7 + 7 Combine like terms: 7 + 7 = 14 7v = 14 Divide each side by '7'. v = 2 Simplifying v = 2
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