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Simplifying -6z + 5z = 5z + -8 + 6z Combine like terms: -6z + 5z = -1z -1z = 5z + -8 + 6z Reorder the terms: -1z = -8 + 5z + 6z Combine like terms: 5z + 6z = 11z -1z = -8 + 11z Solving -1z = -8 + 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. -1z + -11z = -8 + 11z + -11z Combine like terms: -1z + -11z = -12z -12z = -8 + 11z + -11z Combine like terms: 11z + -11z = 0 -12z = -8 + 0 -12z = -8 Divide each side by '-12'. z = 0.6666666667 Simplifying z = 0.6666666667
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