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Simplifying 0.1 = 1.8z + -0.8z + 8.9 Reorder the terms: 0.1 = 8.9 + 1.8z + -0.8z Combine like terms: 1.8z + -0.8z = 1z 0.1 = 8.9 + 1z Solving 0.1 = 8.9 + 1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. 0.1 + -1z = 8.9 + 1z + -1z Combine like terms: 1z + -1z = 0 0.1 + -1z = 8.9 + 0 0.1 + -1z = 8.9 Add '-0.1' to each side of the equation. 0.1 + -0.1 + -1z = 8.9 + -0.1 Combine like terms: 0.1 + -0.1 = 0.0 0.0 + -1z = 8.9 + -0.1 -1z = 8.9 + -0.1 Combine like terms: 8.9 + -0.1 = 8.8 -1z = 8.8 Divide each side by '-1'. z = -8.8 Simplifying z = -8.8
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