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Simplifying -2(9v + -2) + 6v = 2(v + 5) Reorder the terms: -2(-2 + 9v) + 6v = 2(v + 5) (-2 * -2 + 9v * -2) + 6v = 2(v + 5) (4 + -18v) + 6v = 2(v + 5) Combine like terms: -18v + 6v = -12v 4 + -12v = 2(v + 5) Reorder the terms: 4 + -12v = 2(5 + v) 4 + -12v = (5 * 2 + v * 2) 4 + -12v = (10 + 2v) Solving 4 + -12v = 10 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. 4 + -12v + -2v = 10 + 2v + -2v Combine like terms: -12v + -2v = -14v 4 + -14v = 10 + 2v + -2v Combine like terms: 2v + -2v = 0 4 + -14v = 10 + 0 4 + -14v = 10 Add '-4' to each side of the equation. 4 + -4 + -14v = 10 + -4 Combine like terms: 4 + -4 = 0 0 + -14v = 10 + -4 -14v = 10 + -4 Combine like terms: 10 + -4 = 6 -14v = 6 Divide each side by '-14'. v = -0.4285714286 Simplifying v = -0.4285714286
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