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Simplifying 2(v + -4) = 4v + 2 + -6(-2v + -1) Reorder the terms: 2(-4 + v) = 4v + 2 + -6(-2v + -1) (-4 * 2 + v * 2) = 4v + 2 + -6(-2v + -1) (-8 + 2v) = 4v + 2 + -6(-2v + -1) Reorder the terms: -8 + 2v = 4v + 2 + -6(-1 + -2v) -8 + 2v = 4v + 2 + (-1 * -6 + -2v * -6) -8 + 2v = 4v + 2 + (6 + 12v) Reorder the terms: -8 + 2v = 2 + 6 + 4v + 12v Combine like terms: 2 + 6 = 8 -8 + 2v = 8 + 4v + 12v Combine like terms: 4v + 12v = 16v -8 + 2v = 8 + 16v Solving -8 + 2v = 8 + 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. -8 + 2v + -16v = 8 + 16v + -16v Combine like terms: 2v + -16v = -14v -8 + -14v = 8 + 16v + -16v Combine like terms: 16v + -16v = 0 -8 + -14v = 8 + 0 -8 + -14v = 8 Add '8' to each side of the equation. -8 + 8 + -14v = 8 + 8 Combine like terms: -8 + 8 = 0 0 + -14v = 8 + 8 -14v = 8 + 8 Combine like terms: 8 + 8 = 16 -14v = 16 Divide each side by '-14'. v = -1.142857143 Simplifying v = -1.142857143
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