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Simplifying z + -9z = 6z + -5 + -1z Combine like terms: z + -9z = -8z -8z = 6z + -5 + -1z Reorder the terms: -8z = -5 + 6z + -1z Combine like terms: 6z + -1z = 5z -8z = -5 + 5z Solving -8z = -5 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. -8z + -5z = -5 + 5z + -5z Combine like terms: -8z + -5z = -13z -13z = -5 + 5z + -5z Combine like terms: 5z + -5z = 0 -13z = -5 + 0 -13z = -5 Divide each side by '-13'. z = 0.3846153846 Simplifying z = 0.3846153846
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