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