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Simplifying 3.25z + -1(-0.33 + 1.25z) = 5.33 3.25z + (-0.33 * -1 + 1.25z * -1) = 5.33 3.25z + (0.33 + -1.25z) = 5.33 Reorder the terms: 0.33 + 3.25z + -1.25z = 5.33 Combine like terms: 3.25z + -1.25z = 2z 0.33 + 2z = 5.33 Solving 0.33 + 2z = 5.33 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-0.33' to each side of the equation. 0.33 + -0.33 + 2z = 5.33 + -0.33 Combine like terms: 0.33 + -0.33 = 0.00 0.00 + 2z = 5.33 + -0.33 2z = 5.33 + -0.33 Combine like terms: 5.33 + -0.33 = 5 2z = 5 Divide each side by '2'. z = 2.5 Simplifying z = 2.5
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