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Simplifying -5z + 6z = 7z + -1 + -1z Combine like terms: -5z + 6z = 1z 1z = 7z + -1 + -1z Reorder the terms: 1z = -1 + 7z + -1z Combine like terms: 7z + -1z = 6z 1z = -1 + 6z Solving 1z = -1 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. 1z + -6z = -1 + 6z + -6z Combine like terms: 1z + -6z = -5z -5z = -1 + 6z + -6z Combine like terms: 6z + -6z = 0 -5z = -1 + 0 -5z = -1 Divide each side by '-5'. z = 0.2 Simplifying z = 0.2
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