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Simplifying -6z + z = 6z + 8 + -5z Combine like terms: -6z + z = -5z -5z = 6z + 8 + -5z Reorder the terms: -5z = 8 + 6z + -5z Combine like terms: 6z + -5z = 1z -5z = 8 + 1z Solving -5z = 8 + 1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. -5z + -1z = 8 + 1z + -1z Combine like terms: -5z + -1z = -6z -6z = 8 + 1z + -1z Combine like terms: 1z + -1z = 0 -6z = 8 + 0 -6z = 8 Divide each side by '-6'. z = -1.333333333 Simplifying z = -1.333333333
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