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Simplifying 5.4z + 9.6 = 3.6z + 4.2 Reorder the terms: 9.6 + 5.4z = 3.6z + 4.2 Reorder the terms: 9.6 + 5.4z = 4.2 + 3.6z Solving 9.6 + 5.4z = 4.2 + 3.6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3.6z' to each side of the equation. 9.6 + 5.4z + -3.6z = 4.2 + 3.6z + -3.6z Combine like terms: 5.4z + -3.6z = 1.8z 9.6 + 1.8z = 4.2 + 3.6z + -3.6z Combine like terms: 3.6z + -3.6z = 0.0 9.6 + 1.8z = 4.2 + 0.0 9.6 + 1.8z = 4.2 Add '-9.6' to each side of the equation. 9.6 + -9.6 + 1.8z = 4.2 + -9.6 Combine like terms: 9.6 + -9.6 = 0.0 0.0 + 1.8z = 4.2 + -9.6 1.8z = 4.2 + -9.6 Combine like terms: 4.2 + -9.6 = -5.4 1.8z = -5.4 Divide each side by '1.8'. z = -3 Simplifying z = -3
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