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Simplifying -0.25(4v + -8) = 0.5(4 + -1v) Reorder the terms: -0.25(-8 + 4v) = 0.5(4 + -1v) (-8 * -0.25 + 4v * -0.25) = 0.5(4 + -1v) (2 + -1v) = 0.5(4 + -1v) 2 + -1v = (4 * 0.5 + -1v * 0.5) 2 + -1v = (2 + -0.5v) Add '-2' to each side of the equation. 2 + -2 + -1v = 2 + -2 + -0.5v Combine like terms: 2 + -2 = 0 0 + -1v = 2 + -2 + -0.5v -1v = 2 + -2 + -0.5v Combine like terms: 2 + -2 = 0 -1v = 0 + -0.5v -1v = -0.5v Solving -1v = -0.5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '0.5v' to each side of the equation. -1v + 0.5v = -0.5v + 0.5v Combine like terms: -1v + 0.5v = -0.5v -0.5v = -0.5v + 0.5v Combine like terms: -0.5v + 0.5v = 0.0 -0.5v = 0.0 Divide each side by '-0.5'. v = 0 Simplifying v = 0
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