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Simplifying 0.1 = 1 + -1z Solving 0.1 = 1 + -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. 0.1 + z = 1 + -1z + z Combine like terms: -1z + z = 0 0.1 + z = 1 + 0 0.1 + z = 1 Add '-0.1' to each side of the equation. 0.1 + -0.1 + z = 1 + -0.1 Combine like terms: 0.1 + -0.1 = 0.0 0.0 + z = 1 + -0.1 z = 1 + -0.1 Combine like terms: 1 + -0.1 = 0.9 z = 0.9 Simplifying z = 0.9
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