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Simplifying -6(1 + 2v) = -8v + 6 (1 * -6 + 2v * -6) = -8v + 6 (-6 + -12v) = -8v + 6 Reorder the terms: -6 + -12v = 6 + -8v Solving -6 + -12v = 6 + -8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8v' to each side of the equation. -6 + -12v + 8v = 6 + -8v + 8v Combine like terms: -12v + 8v = -4v -6 + -4v = 6 + -8v + 8v Combine like terms: -8v + 8v = 0 -6 + -4v = 6 + 0 -6 + -4v = 6 Add '6' to each side of the equation. -6 + 6 + -4v = 6 + 6 Combine like terms: -6 + 6 = 0 0 + -4v = 6 + 6 -4v = 6 + 6 Combine like terms: 6 + 6 = 12 -4v = 12 Divide each side by '-4'. v = -3 Simplifying v = -3
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