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Simplifying 14v + 17 + -8 = -11v + -12 Reorder the terms: 17 + -8 + 14v = -11v + -12 Combine like terms: 17 + -8 = 9 9 + 14v = -11v + -12 Reorder the terms: 9 + 14v = -12 + -11v Solving 9 + 14v = -12 + -11v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '11v' to each side of the equation. 9 + 14v + 11v = -12 + -11v + 11v Combine like terms: 14v + 11v = 25v 9 + 25v = -12 + -11v + 11v Combine like terms: -11v + 11v = 0 9 + 25v = -12 + 0 9 + 25v = -12 Add '-9' to each side of the equation. 9 + -9 + 25v = -12 + -9 Combine like terms: 9 + -9 = 0 0 + 25v = -12 + -9 25v = -12 + -9 Combine like terms: -12 + -9 = -21 25v = -21 Divide each side by '25'. v = -0.84 Simplifying v = -0.84
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