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