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Simplifying 0.1z = z + 1 Reorder the terms: 0.1z = 1 + z Solving 0.1z = 1 + z 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. 0.1z + -1z = 1 + z + -1z Combine like terms: 0.1z + -1z = -0.9z -0.9z = 1 + z + -1z Combine like terms: z + -1z = 0 -0.9z = 1 + 0 -0.9z = 1 Divide each side by '-0.9'. z = -1.111111111 Simplifying z = -1.111111111
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