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Simplifying -4(3v + 6) = -2(1 + 8v) + 2 Reorder the terms: -4(6 + 3v) = -2(1 + 8v) + 2 (6 * -4 + 3v * -4) = -2(1 + 8v) + 2 (-24 + -12v) = -2(1 + 8v) + 2 -24 + -12v = (1 * -2 + 8v * -2) + 2 -24 + -12v = (-2 + -16v) + 2 Reorder the terms: -24 + -12v = -2 + 2 + -16v Combine like terms: -2 + 2 = 0 -24 + -12v = 0 + -16v -24 + -12v = -16v Solving -24 + -12v = -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. -24 + -12v + 16v = -16v + 16v Combine like terms: -12v + 16v = 4v -24 + 4v = -16v + 16v Combine like terms: -16v + 16v = 0 -24 + 4v = 0 Add '24' to each side of the equation. -24 + 24 + 4v = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 4v = 0 + 24 4v = 0 + 24 Combine like terms: 0 + 24 = 24 4v = 24 Divide each side by '4'. v = 6 Simplifying v = 6
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