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Simplifying z + -6z = 7z + -1 + -1z Combine like terms: z + -6z = -5z -5z = 7z + -1 + -1z Reorder the terms: -5z = -1 + 7z + -1z Combine like terms: 7z + -1z = 6z -5z = -1 + 6z Solving -5z = -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. -5z + -6z = -1 + 6z + -6z Combine like terms: -5z + -6z = -11z -11z = -1 + 6z + -6z Combine like terms: 6z + -6z = 0 -11z = -1 + 0 -11z = -1 Divide each side by '-11'. z = 0.09090909091 Simplifying z = 0.09090909091
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