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Simplifying z + -8z = 9z + -1 + -1z Combine like terms: z + -8z = -7z -7z = 9z + -1 + -1z Reorder the terms: -7z = -1 + 9z + -1z Combine like terms: 9z + -1z = 8z -7z = -1 + 8z Solving -7z = -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. -7z + -8z = -1 + 8z + -8z Combine like terms: -7z + -8z = -15z -15z = -1 + 8z + -8z Combine like terms: 8z + -8z = 0 -15z = -1 + 0 -15z = -1 Divide each side by '-15'. z = 0.06666666667 Simplifying z = 0.06666666667
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