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Simplifying 21z + 100 = 11z + 10 Reorder the terms: 100 + 21z = 11z + 10 Reorder the terms: 100 + 21z = 10 + 11z Solving 100 + 21z = 10 + 11z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-11z' to each side of the equation. 100 + 21z + -11z = 10 + 11z + -11z Combine like terms: 21z + -11z = 10z 100 + 10z = 10 + 11z + -11z Combine like terms: 11z + -11z = 0 100 + 10z = 10 + 0 100 + 10z = 10 Add '-100' to each side of the equation. 100 + -100 + 10z = 10 + -100 Combine like terms: 100 + -100 = 0 0 + 10z = 10 + -100 10z = 10 + -100 Combine like terms: 10 + -100 = -90 10z = -90 Divide each side by '10'. z = -9 Simplifying z = -9
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