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Simplifying 6 + -3(2v + 2) = 2(8 + -1v) Reorder the terms: 6 + -3(2 + 2v) = 2(8 + -1v) 6 + (2 * -3 + 2v * -3) = 2(8 + -1v) 6 + (-6 + -6v) = 2(8 + -1v) Combine like terms: 6 + -6 = 0 0 + -6v = 2(8 + -1v) -6v = 2(8 + -1v) -6v = (8 * 2 + -1v * 2) -6v = (16 + -2v) Solving -6v = 16 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. -6v + 2v = 16 + -2v + 2v Combine like terms: -6v + 2v = -4v -4v = 16 + -2v + 2v Combine like terms: -2v + 2v = 0 -4v = 16 + 0 -4v = 16 Divide each side by '-4'. v = -4 Simplifying v = -4
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