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Simplifying 14v + 10v + 17 = -11 + 10v Reorder the terms: 17 + 14v + 10v = -11 + 10v Combine like terms: 14v + 10v = 24v 17 + 24v = -11 + 10v Solving 17 + 24v = -11 + 10v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-10v' to each side of the equation. 17 + 24v + -10v = -11 + 10v + -10v Combine like terms: 24v + -10v = 14v 17 + 14v = -11 + 10v + -10v Combine like terms: 10v + -10v = 0 17 + 14v = -11 + 0 17 + 14v = -11 Add '-17' to each side of the equation. 17 + -17 + 14v = -11 + -17 Combine like terms: 17 + -17 = 0 0 + 14v = -11 + -17 14v = -11 + -17 Combine like terms: -11 + -17 = -28 14v = -28 Divide each side by '14'. v = -2 Simplifying v = -2
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