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Simplifying 10.6z + -9.6z + 3.8 = 2.9 Reorder the terms: 3.8 + 10.6z + -9.6z = 2.9 Combine like terms: 10.6z + -9.6z = 1z 3.8 + 1z = 2.9 Solving 3.8 + 1z = 2.9 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3.8' to each side of the equation. 3.8 + -3.8 + 1z = 2.9 + -3.8 Combine like terms: 3.8 + -3.8 = 0.0 0.0 + 1z = 2.9 + -3.8 1z = 2.9 + -3.8 Combine like terms: 2.9 + -3.8 = -0.9 1z = -0.9 Divide each side by '1'. z = -0.9 Simplifying z = -0.9
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