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Simplifying 9 + -11z = 12 + -10z Solving 9 + -11z = 12 + -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. 9 + -11z + 10z = 12 + -10z + 10z Combine like terms: -11z + 10z = -1z 9 + -1z = 12 + -10z + 10z Combine like terms: -10z + 10z = 0 9 + -1z = 12 + 0 9 + -1z = 12 Add '-9' to each side of the equation. 9 + -9 + -1z = 12 + -9 Combine like terms: 9 + -9 = 0 0 + -1z = 12 + -9 -1z = 12 + -9 Combine like terms: 12 + -9 = 3 -1z = 3 Divide each side by '-1'. z = -3 Simplifying z = -3
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