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Simplifying 2(v + -8) + -1 = -5(-4v + 1) + -4v Reorder the terms: 2(-8 + v) + -1 = -5(-4v + 1) + -4v (-8 * 2 + v * 2) + -1 = -5(-4v + 1) + -4v (-16 + 2v) + -1 = -5(-4v + 1) + -4v Reorder the terms: -16 + -1 + 2v = -5(-4v + 1) + -4v Combine like terms: -16 + -1 = -17 -17 + 2v = -5(-4v + 1) + -4v Reorder the terms: -17 + 2v = -5(1 + -4v) + -4v -17 + 2v = (1 * -5 + -4v * -5) + -4v -17 + 2v = (-5 + 20v) + -4v Combine like terms: 20v + -4v = 16v -17 + 2v = -5 + 16v Solving -17 + 2v = -5 + 16v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-16v' to each side of the equation. -17 + 2v + -16v = -5 + 16v + -16v Combine like terms: 2v + -16v = -14v -17 + -14v = -5 + 16v + -16v Combine like terms: 16v + -16v = 0 -17 + -14v = -5 + 0 -17 + -14v = -5 Add '17' to each side of the equation. -17 + 17 + -14v = -5 + 17 Combine like terms: -17 + 17 = 0 0 + -14v = -5 + 17 -14v = -5 + 17 Combine like terms: -5 + 17 = 12 -14v = 12 Divide each side by '-14'. v = -0.8571428571 Simplifying v = -0.8571428571
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