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Simplifying 10z + -2 = 9z + 1 Reorder the terms: -2 + 10z = 9z + 1 Reorder the terms: -2 + 10z = 1 + 9z Solving -2 + 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. -2 + 10z + -9z = 1 + 9z + -9z Combine like terms: 10z + -9z = 1z -2 + 1z = 1 + 9z + -9z Combine like terms: 9z + -9z = 0 -2 + 1z = 1 + 0 -2 + 1z = 1 Add '2' to each side of the equation. -2 + 2 + 1z = 1 + 2 Combine like terms: -2 + 2 = 0 0 + 1z = 1 + 2 1z = 1 + 2 Combine like terms: 1 + 2 = 3 1z = 3 Divide each side by '1'. z = 3 Simplifying z = 3
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