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Simplifying 3v + -15v + 15v + 9v + -5v + -14 = -7 Reorder the terms: -14 + 3v + -15v + 15v + 9v + -5v = -7 Combine like terms: 3v + -15v = -12v -14 + -12v + 15v + 9v + -5v = -7 Combine like terms: -12v + 15v = 3v -14 + 3v + 9v + -5v = -7 Combine like terms: 3v + 9v = 12v -14 + 12v + -5v = -7 Combine like terms: 12v + -5v = 7v -14 + 7v = -7 Solving -14 + 7v = -7 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 7v = -7 + 14 Combine like terms: -14 + 14 = 0 0 + 7v = -7 + 14 7v = -7 + 14 Combine like terms: -7 + 14 = 7 7v = 7 Divide each side by '7'. v = 1 Simplifying v = 1
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