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Simplifying -25(4v + -8) = 0.5(4 + -2v) Reorder the terms: -25(-8 + 4v) = 0.5(4 + -2v) (-8 * -25 + 4v * -25) = 0.5(4 + -2v) (200 + -100v) = 0.5(4 + -2v) 200 + -100v = (4 * 0.5 + -2v * 0.5) 200 + -100v = (2 + -1v) Solving 200 + -100v = 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. 200 + -100v + v = 2 + -1v + v Combine like terms: -100v + v = -99v 200 + -99v = 2 + -1v + v Combine like terms: -1v + v = 0 200 + -99v = 2 + 0 200 + -99v = 2 Add '-200' to each side of the equation. 200 + -200 + -99v = 2 + -200 Combine like terms: 200 + -200 = 0 0 + -99v = 2 + -200 -99v = 2 + -200 Combine like terms: 2 + -200 = -198 -99v = -198 Divide each side by '-99'. v = 2 Simplifying v = 2
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