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Simplifying -2(v + 1) = -4(2v + -4) Reorder the terms: -2(1 + v) = -4(2v + -4) (1 * -2 + v * -2) = -4(2v + -4) (-2 + -2v) = -4(2v + -4) Reorder the terms: -2 + -2v = -4(-4 + 2v) -2 + -2v = (-4 * -4 + 2v * -4) -2 + -2v = (16 + -8v) Solving -2 + -2v = 16 + -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. -2 + -2v + 8v = 16 + -8v + 8v Combine like terms: -2v + 8v = 6v -2 + 6v = 16 + -8v + 8v Combine like terms: -8v + 8v = 0 -2 + 6v = 16 + 0 -2 + 6v = 16 Add '2' to each side of the equation. -2 + 2 + 6v = 16 + 2 Combine like terms: -2 + 2 = 0 0 + 6v = 16 + 2 6v = 16 + 2 Combine like terms: 16 + 2 = 18 6v = 18 Divide each side by '6'. v = 3 Simplifying v = 3
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