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Simplifying 0.25(9 + -2z) = 1 (9 * 0.25 + -2z * 0.25) = 1 (2.25 + -0.5z) = 1 Solving 2.25 + -0.5z = 1 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2.25' to each side of the equation. 2.25 + -2.25 + -0.5z = 1 + -2.25 Combine like terms: 2.25 + -2.25 = 0.00 0.00 + -0.5z = 1 + -2.25 -0.5z = 1 + -2.25 Combine like terms: 1 + -2.25 = -1.25 -0.5z = -1.25 Divide each side by '-0.5'. z = 2.5 Simplifying z = 2.5
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