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Simplifying -4(1 + -1v) = 6v + 12 (1 * -4 + -1v * -4) = 6v + 12 (-4 + 4v) = 6v + 12 Reorder the terms: -4 + 4v = 12 + 6v Solving -4 + 4v = 12 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. -4 + 4v + -6v = 12 + 6v + -6v Combine like terms: 4v + -6v = -2v -4 + -2v = 12 + 6v + -6v Combine like terms: 6v + -6v = 0 -4 + -2v = 12 + 0 -4 + -2v = 12 Add '4' to each side of the equation. -4 + 4 + -2v = 12 + 4 Combine like terms: -4 + 4 = 0 0 + -2v = 12 + 4 -2v = 12 + 4 Combine like terms: 12 + 4 = 16 -2v = 16 Divide each side by '-2'. v = -8 Simplifying v = -8
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