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Simplifying 0.25(4v + -8) = 0.5(4 + -2v) Reorder the terms: 0.25(-8 + 4v) = 0.5(4 + -2v) (-8 * 0.25 + 4v * 0.25) = 0.5(4 + -2v) (-2 + 1v) = 0.5(4 + -2v) -2 + 1v = (4 * 0.5 + -2v * 0.5) -2 + 1v = (2 + -1v) Solving -2 + 1v = 2 + -1v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add 'v' to each side of the equation. -2 + 1v + v = 2 + -1v + v Combine like terms: 1v + v = 2v -2 + 2v = 2 + -1v + v Combine like terms: -1v + v = 0 -2 + 2v = 2 + 0 -2 + 2v = 2 Add '2' to each side of the equation. -2 + 2 + 2v = 2 + 2 Combine like terms: -2 + 2 = 0 0 + 2v = 2 + 2 2v = 2 + 2 Combine like terms: 2 + 2 = 4 2v = 4 Divide each side by '2'. v = 2 Simplifying v = 2
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