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Simplifying -2(2v + 4) = -6(v + 8) Reorder the terms: -2(4 + 2v) = -6(v + 8) (4 * -2 + 2v * -2) = -6(v + 8) (-8 + -4v) = -6(v + 8) Reorder the terms: -8 + -4v = -6(8 + v) -8 + -4v = (8 * -6 + v * -6) -8 + -4v = (-48 + -6v) Solving -8 + -4v = -48 + -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. -8 + -4v + 6v = -48 + -6v + 6v Combine like terms: -4v + 6v = 2v -8 + 2v = -48 + -6v + 6v Combine like terms: -6v + 6v = 0 -8 + 2v = -48 + 0 -8 + 2v = -48 Add '8' to each side of the equation. -8 + 8 + 2v = -48 + 8 Combine like terms: -8 + 8 = 0 0 + 2v = -48 + 8 2v = -48 + 8 Combine like terms: -48 + 8 = -40 2v = -40 Divide each side by '2'. v = -20 Simplifying v = -20
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