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