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Simplifying -5.3 + 8.4 = 9.3z + -7.2 Combine like terms: -5.3 + 8.4 = 3.1 3.1 = 9.3z + -7.2 Reorder the terms: 3.1 = -7.2 + 9.3z Solving 3.1 = -7.2 + 9.3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9.3z' to each side of the equation. 3.1 + -9.3z = -7.2 + 9.3z + -9.3z Combine like terms: 9.3z + -9.3z = 0.0 3.1 + -9.3z = -7.2 + 0.0 3.1 + -9.3z = -7.2 Add '-3.1' to each side of the equation. 3.1 + -3.1 + -9.3z = -7.2 + -3.1 Combine like terms: 3.1 + -3.1 = 0.0 0.0 + -9.3z = -7.2 + -3.1 -9.3z = -7.2 + -3.1 Combine like terms: -7.2 + -3.1 = -10.3 -9.3z = -10.3 Divide each side by '-9.3'. z = 1.107526882 Simplifying z = 1.107526882
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