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Simplifying 10z + -21 = 9z + 10 Reorder the terms: -21 + 10z = 9z + 10 Reorder the terms: -21 + 10z = 10 + 9z Solving -21 + 10z = 10 + 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. -21 + 10z + -9z = 10 + 9z + -9z Combine like terms: 10z + -9z = 1z -21 + 1z = 10 + 9z + -9z Combine like terms: 9z + -9z = 0 -21 + 1z = 10 + 0 -21 + 1z = 10 Add '21' to each side of the equation. -21 + 21 + 1z = 10 + 21 Combine like terms: -21 + 21 = 0 0 + 1z = 10 + 21 1z = 10 + 21 Combine like terms: 10 + 21 = 31 1z = 31 Divide each side by '1'. z = 31 Simplifying z = 31
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