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Simplifying 2(v + -5) + -4 = -5(-4v + 1) + -6v Reorder the terms: 2(-5 + v) + -4 = -5(-4v + 1) + -6v (-5 * 2 + v * 2) + -4 = -5(-4v + 1) + -6v (-10 + 2v) + -4 = -5(-4v + 1) + -6v Reorder the terms: -10 + -4 + 2v = -5(-4v + 1) + -6v Combine like terms: -10 + -4 = -14 -14 + 2v = -5(-4v + 1) + -6v Reorder the terms: -14 + 2v = -5(1 + -4v) + -6v -14 + 2v = (1 * -5 + -4v * -5) + -6v -14 + 2v = (-5 + 20v) + -6v Combine like terms: 20v + -6v = 14v -14 + 2v = -5 + 14v Solving -14 + 2v = -5 + 14v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-14v' to each side of the equation. -14 + 2v + -14v = -5 + 14v + -14v Combine like terms: 2v + -14v = -12v -14 + -12v = -5 + 14v + -14v Combine like terms: 14v + -14v = 0 -14 + -12v = -5 + 0 -14 + -12v = -5 Add '14' to each side of the equation. -14 + 14 + -12v = -5 + 14 Combine like terms: -14 + 14 = 0 0 + -12v = -5 + 14 -12v = -5 + 14 Combine like terms: -5 + 14 = 9 -12v = 9 Divide each side by '-12'. v = -0.75 Simplifying v = -0.75
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