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Simplifying z + -9z = 4z + -1 + -1z Combine like terms: z + -9z = -8z -8z = 4z + -1 + -1z Reorder the terms: -8z = -1 + 4z + -1z Combine like terms: 4z + -1z = 3z -8z = -1 + 3z Solving -8z = -1 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. -8z + -3z = -1 + 3z + -3z Combine like terms: -8z + -3z = -11z -11z = -1 + 3z + -3z Combine like terms: 3z + -3z = 0 -11z = -1 + 0 -11z = -1 Divide each side by '-11'. z = 0.09090909091 Simplifying z = 0.09090909091
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