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Simplifying 2 + 8z = 11z + 6 Reorder the terms: 2 + 8z = 6 + 11z Solving 2 + 8z = 6 + 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. 2 + 8z + -11z = 6 + 11z + -11z Combine like terms: 8z + -11z = -3z 2 + -3z = 6 + 11z + -11z Combine like terms: 11z + -11z = 0 2 + -3z = 6 + 0 2 + -3z = 6 Add '-2' to each side of the equation. 2 + -2 + -3z = 6 + -2 Combine like terms: 2 + -2 = 0 0 + -3z = 6 + -2 -3z = 6 + -2 Combine like terms: 6 + -2 = 4 -3z = 4 Divide each side by '-3'. z = -1.333333333 Simplifying z = -1.333333333
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