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Simplifying 5v + -6 + 2(2v + 1) = -5(v + 2) Reorder the terms: 5v + -6 + 2(1 + 2v) = -5(v + 2) 5v + -6 + (1 * 2 + 2v * 2) = -5(v + 2) 5v + -6 + (2 + 4v) = -5(v + 2) Reorder the terms: -6 + 2 + 5v + 4v = -5(v + 2) Combine like terms: -6 + 2 = -4 -4 + 5v + 4v = -5(v + 2) Combine like terms: 5v + 4v = 9v -4 + 9v = -5(v + 2) Reorder the terms: -4 + 9v = -5(2 + v) -4 + 9v = (2 * -5 + v * -5) -4 + 9v = (-10 + -5v) Solving -4 + 9v = -10 + -5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5v' to each side of the equation. -4 + 9v + 5v = -10 + -5v + 5v Combine like terms: 9v + 5v = 14v -4 + 14v = -10 + -5v + 5v Combine like terms: -5v + 5v = 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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