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Simplifying -6z + 11 = 40 + 9z + -7 Reorder the terms: 11 + -6z = 40 + 9z + -7 Reorder the terms: 11 + -6z = 40 + -7 + 9z Combine like terms: 40 + -7 = 33 11 + -6z = 33 + 9z Solving 11 + -6z = 33 + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. 11 + -6z + -9z = 33 + 9z + -9z Combine like terms: -6z + -9z = -15z 11 + -15z = 33 + 9z + -9z Combine like terms: 9z + -9z = 0 11 + -15z = 33 + 0 11 + -15z = 33 Add '-11' to each side of the equation. 11 + -11 + -15z = 33 + -11 Combine like terms: 11 + -11 = 0 0 + -15z = 33 + -11 -15z = 33 + -11 Combine like terms: 33 + -11 = 22 -15z = 22 Divide each side by '-15'. z = -1.466666667 Simplifying z = -1.466666667
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