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Simplifying 11v + -2v + -9v + -6v + 14v + 5 = -19 Reorder the terms: 5 + 11v + -2v + -9v + -6v + 14v = -19 Combine like terms: 11v + -2v = 9v 5 + 9v + -9v + -6v + 14v = -19 Combine like terms: 9v + -9v = 0 5 + 0 + -6v + 14v = -19 5 + -6v + 14v = -19 Combine like terms: -6v + 14v = 8v 5 + 8v = -19 Solving 5 + 8v = -19 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 8v = -19 + -5 Combine like terms: 5 + -5 = 0 0 + 8v = -19 + -5 8v = -19 + -5 Combine like terms: -19 + -5 = -24 8v = -24 Divide each side by '8'. v = -3 Simplifying v = -3
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