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Simplifying 8z + 11 = 2z + 29 Reorder the terms: 11 + 8z = 2z + 29 Reorder the terms: 11 + 8z = 29 + 2z Solving 11 + 8z = 29 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 11 + 8z + -2z = 29 + 2z + -2z Combine like terms: 8z + -2z = 6z 11 + 6z = 29 + 2z + -2z Combine like terms: 2z + -2z = 0 11 + 6z = 29 + 0 11 + 6z = 29 Add '-11' to each side of the equation. 11 + -11 + 6z = 29 + -11 Combine like terms: 11 + -11 = 0 0 + 6z = 29 + -11 6z = 29 + -11 Combine like terms: 29 + -11 = 18 6z = 18 Divide each side by '6'. z = 3 Simplifying z = 3
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