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Simplifying 2(v + 5) + 7v + 4 = 0 Reorder the terms: 2(5 + v) + 7v + 4 = 0 (5 * 2 + v * 2) + 7v + 4 = 0 (10 + 2v) + 7v + 4 = 0 Reorder the terms: 10 + 4 + 2v + 7v = 0 Combine like terms: 10 + 4 = 14 14 + 2v + 7v = 0 Combine like terms: 2v + 7v = 9v 14 + 9v = 0 Solving 14 + 9v = 0 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 + 9v = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 9v = 0 + -14 9v = 0 + -14 Combine like terms: 0 + -14 = -14 9v = -14 Divide each side by '9'. v = -1.555555556 Simplifying v = -1.555555556
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