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Simplifying 4.1z + 3.6 = 3.1z + 5.6 Reorder the terms: 3.6 + 4.1z = 3.1z + 5.6 Reorder the terms: 3.6 + 4.1z = 5.6 + 3.1z Solving 3.6 + 4.1z = 5.6 + 3.1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3.1z' to each side of the equation. 3.6 + 4.1z + -3.1z = 5.6 + 3.1z + -3.1z Combine like terms: 4.1z + -3.1z = 1z 3.6 + 1z = 5.6 + 3.1z + -3.1z Combine like terms: 3.1z + -3.1z = 0.0 3.6 + 1z = 5.6 + 0.0 3.6 + 1z = 5.6 Add '-3.6' to each side of the equation. 3.6 + -3.6 + 1z = 5.6 + -3.6 Combine like terms: 3.6 + -3.6 = 0.0 0.0 + 1z = 5.6 + -3.6 1z = 5.6 + -3.6 Combine like terms: 5.6 + -3.6 = 2 1z = 2 Divide each side by '1'. z = 2 Simplifying z = 2
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