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Simplifying -5z + 6z = 4z + -1 + 8z Combine like terms: -5z + 6z = 1z 1z = 4z + -1 + 8z Reorder the terms: 1z = -1 + 4z + 8z Combine like terms: 4z + 8z = 12z 1z = -1 + 12z Solving 1z = -1 + 12z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-12z' to each side of the equation. 1z + -12z = -1 + 12z + -12z Combine like terms: 1z + -12z = -11z -11z = -1 + 12z + -12z Combine like terms: 12z + -12z = 0 -11z = -1 + 0 -11z = -1 Divide each side by '-11'. z = 0.09090909091 Simplifying z = 0.09090909091
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