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Simplifying 9z + 10 = 10z + -21 Reorder the terms: 10 + 9z = 10z + -21 Reorder the terms: 10 + 9z = -21 + 10z Solving 10 + 9z = -21 + 10z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-10z' to each side of the equation. 10 + 9z + -10z = -21 + 10z + -10z Combine like terms: 9z + -10z = -1z 10 + -1z = -21 + 10z + -10z Combine like terms: 10z + -10z = 0 10 + -1z = -21 + 0 10 + -1z = -21 Add '-10' to each side of the equation. 10 + -10 + -1z = -21 + -10 Combine like terms: 10 + -10 = 0 0 + -1z = -21 + -10 -1z = -21 + -10 Combine like terms: -21 + -10 = -31 -1z = -31 Divide each side by '-1'. z = 31 Simplifying z = 31
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