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Simplifying 0.4 = 7.1z + -6.1z + 0.2 Reorder the terms: 0.4 = 0.2 + 7.1z + -6.1z Combine like terms: 7.1z + -6.1z = 1z 0.4 = 0.2 + 1z Solving 0.4 = 0.2 + 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. 0.4 + -1z = 0.2 + 1z + -1z Combine like terms: 1z + -1z = 0 0.4 + -1z = 0.2 + 0 0.4 + -1z = 0.2 Add '-0.4' to each side of the equation. 0.4 + -0.4 + -1z = 0.2 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + -1z = 0.2 + -0.4 -1z = 0.2 + -0.4 Combine like terms: 0.2 + -0.4 = -0.2 -1z = -0.2 Divide each side by '-1'. z = 0.2 Simplifying z = 0.2
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