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Simplifying 1.92z + 0.09 = 1.47 + 5.23 Reorder the terms: 0.09 + 1.92z = 1.47 + 5.23 Combine like terms: 1.47 + 5.23 = 6.7 0.09 + 1.92z = 6.7 Solving 0.09 + 1.92z = 6.7 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-0.09' to each side of the equation. 0.09 + -0.09 + 1.92z = 6.7 + -0.09 Combine like terms: 0.09 + -0.09 = 0.00 0.00 + 1.92z = 6.7 + -0.09 1.92z = 6.7 + -0.09 Combine like terms: 6.7 + -0.09 = 6.61 1.92z = 6.61 Divide each side by '1.92'. z = 3.442708333 Simplifying z = 3.442708333
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