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Simplifying 8z + 10 = 11 + 11z Reorder the terms: 10 + 8z = 11 + 11z Solving 10 + 8z = 11 + 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. 10 + 8z + -11z = 11 + 11z + -11z Combine like terms: 8z + -11z = -3z 10 + -3z = 11 + 11z + -11z Combine like terms: 11z + -11z = 0 10 + -3z = 11 + 0 10 + -3z = 11 Add '-10' to each side of the equation. 10 + -10 + -3z = 11 + -10 Combine like terms: 10 + -10 = 0 0 + -3z = 11 + -10 -3z = 11 + -10 Combine like terms: 11 + -10 = 1 -3z = 1 Divide each side by '-3'. z = -0.3333333333 Simplifying z = -0.3333333333
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