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Simplifying 0.083z + 5 = 0.33(10 + -1z) Reorder the terms: 5 + 0.083z = 0.33(10 + -1z) 5 + 0.083z = (10 * 0.33 + -1z * 0.33) 5 + 0.083z = (3.3 + -0.33z) Solving 5 + 0.083z = 3.3 + -0.33z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '0.33z' to each side of the equation. 5 + 0.083z + 0.33z = 3.3 + -0.33z + 0.33z Combine like terms: 0.083z + 0.33z = 0.413z 5 + 0.413z = 3.3 + -0.33z + 0.33z Combine like terms: -0.33z + 0.33z = 0.00 5 + 0.413z = 3.3 + 0.00 5 + 0.413z = 3.3 Add '-5' to each side of the equation. 5 + -5 + 0.413z = 3.3 + -5 Combine like terms: 5 + -5 = 0 0 + 0.413z = 3.3 + -5 0.413z = 3.3 + -5 Combine like terms: 3.3 + -5 = -1.7 0.413z = -1.7 Divide each side by '0.413'. z = -4.11622276 Simplifying z = -4.11622276
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