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Simplifying 10z + -8 = 9z + 1 Reorder the terms: -8 + 10z = 9z + 1 Reorder the terms: -8 + 10z = 1 + 9z Solving -8 + 10z = 1 + 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. -8 + 10z + -9z = 1 + 9z + -9z Combine like terms: 10z + -9z = 1z -8 + 1z = 1 + 9z + -9z Combine like terms: 9z + -9z = 0 -8 + 1z = 1 + 0 -8 + 1z = 1 Add '8' to each side of the equation. -8 + 8 + 1z = 1 + 8 Combine like terms: -8 + 8 = 0 0 + 1z = 1 + 8 1z = 1 + 8 Combine like terms: 1 + 8 = 9 1z = 9 Divide each side by '1'. z = 9 Simplifying z = 9
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