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Simplifying 0.25(20z + 10) + 0.5z + -2.25 = 0 Reorder the terms: 0.25(10 + 20z) + 0.5z + -2.25 = 0 (10 * 0.25 + 20z * 0.25) + 0.5z + -2.25 = 0 (2.5 + 5z) + 0.5z + -2.25 = 0 Reorder the terms: 2.5 + -2.25 + 5z + 0.5z = 0 Combine like terms: 2.5 + -2.25 = 0.25 0.25 + 5z + 0.5z = 0 Combine like terms: 5z + 0.5z = 5.5z 0.25 + 5.5z = 0 Solving 0.25 + 5.5z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-0.25' to each side of the equation. 0.25 + -0.25 + 5.5z = 0 + -0.25 Combine like terms: 0.25 + -0.25 = 0.00 0.00 + 5.5z = 0 + -0.25 5.5z = 0 + -0.25 Combine like terms: 0 + -0.25 = -0.25 5.5z = -0.25 Divide each side by '5.5'. z = -0.04545454545 Simplifying z = -0.04545454545
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