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Simplifying -2z + 11z + 1 = 8z + 6 Reorder the terms: 1 + -2z + 11z = 8z + 6 Combine like terms: -2z + 11z = 9z 1 + 9z = 8z + 6 Reorder the terms: 1 + 9z = 6 + 8z Solving 1 + 9z = 6 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. 1 + 9z + -8z = 6 + 8z + -8z Combine like terms: 9z + -8z = 1z 1 + 1z = 6 + 8z + -8z Combine like terms: 8z + -8z = 0 1 + 1z = 6 + 0 1 + 1z = 6 Add '-1' to each side of the equation. 1 + -1 + 1z = 6 + -1 Combine like terms: 1 + -1 = 0 0 + 1z = 6 + -1 1z = 6 + -1 Combine like terms: 6 + -1 = 5 1z = 5 Divide each side by '1'. z = 5 Simplifying z = 5
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