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Simplifying 8z + 0.16 = 9z + 1.16 Reorder the terms: 0.16 + 8z = 9z + 1.16 Reorder the terms: 0.16 + 8z = 1.16 + 9z Solving 0.16 + 8z = 1.16 + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. 0.16 + 8z + -9z = 1.16 + 9z + -9z Combine like terms: 8z + -9z = -1z 0.16 + -1z = 1.16 + 9z + -9z Combine like terms: 9z + -9z = 0 0.16 + -1z = 1.16 + 0 0.16 + -1z = 1.16 Add '-0.16' to each side of the equation. 0.16 + -0.16 + -1z = 1.16 + -0.16 Combine like terms: 0.16 + -0.16 = 0.00 0.00 + -1z = 1.16 + -0.16 -1z = 1.16 + -0.16 Combine like terms: 1.16 + -0.16 = 1 -1z = 1 Divide each side by '-1'. z = -1 Simplifying z = -1
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