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Simplifying 2z + 11 = 8z + 15 Reorder the terms: 11 + 2z = 8z + 15 Reorder the terms: 11 + 2z = 15 + 8z Solving 11 + 2z = 15 + 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. 11 + 2z + -8z = 15 + 8z + -8z Combine like terms: 2z + -8z = -6z 11 + -6z = 15 + 8z + -8z Combine like terms: 8z + -8z = 0 11 + -6z = 15 + 0 11 + -6z = 15 Add '-11' to each side of the equation. 11 + -11 + -6z = 15 + -11 Combine like terms: 11 + -11 = 0 0 + -6z = 15 + -11 -6z = 15 + -11 Combine like terms: 15 + -11 = 4 -6z = 4 Divide each side by '-6'. z = -0.6666666667 Simplifying z = -0.6666666667
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