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Simplifying -4(v + 2) = 4v + -2 + 2(4v + 4) Reorder the terms: -4(2 + v) = 4v + -2 + 2(4v + 4) (2 * -4 + v * -4) = 4v + -2 + 2(4v + 4) (-8 + -4v) = 4v + -2 + 2(4v + 4) Reorder the terms: -8 + -4v = 4v + -2 + 2(4 + 4v) -8 + -4v = 4v + -2 + (4 * 2 + 4v * 2) -8 + -4v = 4v + -2 + (8 + 8v) Reorder the terms: -8 + -4v = -2 + 8 + 4v + 8v Combine like terms: -2 + 8 = 6 -8 + -4v = 6 + 4v + 8v Combine like terms: 4v + 8v = 12v -8 + -4v = 6 + 12v Solving -8 + -4v = 6 + 12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-12v' to each side of the equation. -8 + -4v + -12v = 6 + 12v + -12v Combine like terms: -4v + -12v = -16v -8 + -16v = 6 + 12v + -12v Combine like terms: 12v + -12v = 0 -8 + -16v = 6 + 0 -8 + -16v = 6 Add '8' to each side of the equation. -8 + 8 + -16v = 6 + 8 Combine like terms: -8 + 8 = 0 0 + -16v = 6 + 8 -16v = 6 + 8 Combine like terms: 6 + 8 = 14 -16v = 14 Divide each side by '-16'. v = -0.875 Simplifying v = -0.875
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