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Simplifying 9.72z + 8.12 = 5.33 + -3.69z Reorder the terms: 8.12 + 9.72z = 5.33 + -3.69z Solving 8.12 + 9.72z = 5.33 + -3.69z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3.69z' to each side of the equation. 8.12 + 9.72z + 3.69z = 5.33 + -3.69z + 3.69z Combine like terms: 9.72z + 3.69z = 13.41z 8.12 + 13.41z = 5.33 + -3.69z + 3.69z Combine like terms: -3.69z + 3.69z = 0.00 8.12 + 13.41z = 5.33 + 0.00 8.12 + 13.41z = 5.33 Add '-8.12' to each side of the equation. 8.12 + -8.12 + 13.41z = 5.33 + -8.12 Combine like terms: 8.12 + -8.12 = 0.00 0.00 + 13.41z = 5.33 + -8.12 13.41z = 5.33 + -8.12 Combine like terms: 5.33 + -8.12 = -2.79 13.41z = -2.79 Divide each side by '13.41'. z = -0.2080536913 Simplifying z = -0.2080536913
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