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Simplifying z + -9z = 7z + -1 + -1z Combine like terms: z + -9z = -8z -8z = 7z + -1 + -1z Reorder the terms: -8z = -1 + 7z + -1z Combine like terms: 7z + -1z = 6z -8z = -1 + 6z Solving -8z = -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. -8z + -6z = -1 + 6z + -6z Combine like terms: -8z + -6z = -14z -14z = -1 + 6z + -6z Combine like terms: 6z + -6z = 0 -14z = -1 + 0 -14z = -1 Divide each side by '-14'. z = 0.07142857143 Simplifying z = 0.07142857143
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