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Simplifying 0.25(8z + -4) = v + 8 + -2z Reorder the terms: 0.25(-4 + 8z) = v + 8 + -2z (-4 * 0.25 + 8z * 0.25) = v + 8 + -2z (-1 + 2z) = v + 8 + -2z Reorder the terms: -1 + 2z = 8 + v + -2z Solving -1 + 2z = 8 + v + -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. -1 + 2z + 2z = 8 + v + -2z + 2z Combine like terms: 2z + 2z = 4z -1 + 4z = 8 + v + -2z + 2z Combine like terms: -2z + 2z = 0 -1 + 4z = 8 + v + 0 -1 + 4z = 8 + v Add '1' to each side of the equation. -1 + 1 + 4z = 8 + 1 + v Combine like terms: -1 + 1 = 0 0 + 4z = 8 + 1 + v 4z = 8 + 1 + v Combine like terms: 8 + 1 = 9 4z = 9 + v Divide each side by '4'. z = 2.25 + 0.25v Simplifying z = 2.25 + 0.25v
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