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Simplifying -0.25(4v + -8) = 0.5(4 + -20) Reorder the terms: -0.25(-8 + 4v) = 0.5(4 + -20) (-8 * -0.25 + 4v * -0.25) = 0.5(4 + -20) (2 + -1v) = 0.5(4 + -20) Combine like terms: 4 + -20 = -16 2 + -1v = 0.5(-16) Multiply 0.5 * -16 2 + -1v = -8 Solving 2 + -1v = -8 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1v = -8 + -2 Combine like terms: 2 + -2 = 0 0 + -1v = -8 + -2 -1v = -8 + -2 Combine like terms: -8 + -2 = -10 -1v = -10 Divide each side by '-1'. v = 10 Simplifying v = 10
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