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Simplifying 10.6 + -9.6z + 3.8 = 2.9 Reorder the terms: 10.6 + 3.8 + -9.6z = 2.9 Combine like terms: 10.6 + 3.8 = 14.4 14.4 + -9.6z = 2.9 Solving 14.4 + -9.6z = 2.9 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-14.4' to each side of the equation. 14.4 + -14.4 + -9.6z = 2.9 + -14.4 Combine like terms: 14.4 + -14.4 = 0.0 0.0 + -9.6z = 2.9 + -14.4 -9.6z = 2.9 + -14.4 Combine like terms: 2.9 + -14.4 = -11.5 -9.6z = -11.5 Divide each side by '-9.6'. z = 1.197916667 Simplifying z = 1.197916667
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