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Simplifying 5.9 = 3.2(z + 4.1) Reorder the terms: 5.9 = 3.2(4.1 + z) 5.9 = (4.1 * 3.2 + z * 3.2) 5.9 = (13.12 + 3.2z) Solving 5.9 = 13.12 + 3.2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3.2z' to each side of the equation. 5.9 + -3.2z = 13.12 + 3.2z + -3.2z Combine like terms: 3.2z + -3.2z = 0.0 5.9 + -3.2z = 13.12 + 0.0 5.9 + -3.2z = 13.12 Add '-5.9' to each side of the equation. 5.9 + -5.9 + -3.2z = 13.12 + -5.9 Combine like terms: 5.9 + -5.9 = 0.0 0.0 + -3.2z = 13.12 + -5.9 -3.2z = 13.12 + -5.9 Combine like terms: 13.12 + -5.9 = 7.22 -3.2z = 7.22 Divide each side by '-3.2'. z = -2.25625 Simplifying z = -2.25625
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