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Simplifying 0.25(8z + -4) = 2 + 8 + -2z Reorder the terms: 0.25(-4 + 8z) = 2 + 8 + -2z (-4 * 0.25 + 8z * 0.25) = 2 + 8 + -2z (-1 + 2z) = 2 + 8 + -2z Combine like terms: 2 + 8 = 10 -1 + 2z = 10 + -2z Solving -1 + 2z = 10 + -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 = 10 + -2z + 2z Combine like terms: 2z + 2z = 4z -1 + 4z = 10 + -2z + 2z Combine like terms: -2z + 2z = 0 -1 + 4z = 10 + 0 -1 + 4z = 10 Add '1' to each side of the equation. -1 + 1 + 4z = 10 + 1 Combine like terms: -1 + 1 = 0 0 + 4z = 10 + 1 4z = 10 + 1 Combine like terms: 10 + 1 = 11 4z = 11 Divide each side by '4'. z = 2.75 Simplifying z = 2.75
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