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Simplifying -0.25(4v + -8) = 0.5(2 + -4v) Reorder the terms: -0.25(-8 + 4v) = 0.5(2 + -4v) (-8 * -0.25 + 4v * -0.25) = 0.5(2 + -4v) (2 + -1v) = 0.5(2 + -4v) 2 + -1v = (2 * 0.5 + -4v * 0.5) 2 + -1v = (1 + -2v) Solving 2 + -1v = 1 + -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. 2 + -1v + 2v = 1 + -2v + 2v Combine like terms: -1v + 2v = 1v 2 + 1v = 1 + -2v + 2v Combine like terms: -2v + 2v = 0 2 + 1v = 1 + 0 2 + 1v = 1 Add '-2' to each side of the equation. 2 + -2 + 1v = 1 + -2 Combine like terms: 2 + -2 = 0 0 + 1v = 1 + -2 1v = 1 + -2 Combine like terms: 1 + -2 = -1 1v = -1 Divide each side by '1'. v = -1 Simplifying v = -1
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