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Simplifying 2(v + 4) = -9v + -14 Reorder the terms: 2(4 + v) = -9v + -14 (4 * 2 + v * 2) = -9v + -14 (8 + 2v) = -9v + -14 Reorder the terms: 8 + 2v = -14 + -9v Solving 8 + 2v = -14 + -9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '9v' to each side of the equation. 8 + 2v + 9v = -14 + -9v + 9v Combine like terms: 2v + 9v = 11v 8 + 11v = -14 + -9v + 9v Combine like terms: -9v + 9v = 0 8 + 11v = -14 + 0 8 + 11v = -14 Add '-8' to each side of the equation. 8 + -8 + 11v = -14 + -8 Combine like terms: 8 + -8 = 0 0 + 11v = -14 + -8 11v = -14 + -8 Combine like terms: -14 + -8 = -22 11v = -22 Divide each side by '11'. v = -2 Simplifying v = -2
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