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Simplifying z + -6z = 9z + -5 + -1z Combine like terms: z + -6z = -5z -5z = 9z + -5 + -1z Reorder the terms: -5z = -5 + 9z + -1z Combine like terms: 9z + -1z = 8z -5z = -5 + 8z Solving -5z = -5 + 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. -5z + -8z = -5 + 8z + -8z Combine like terms: -5z + -8z = -13z -13z = -5 + 8z + -8z Combine like terms: 8z + -8z = 0 -13z = -5 + 0 -13z = -5 Divide each side by '-13'. z = 0.3846153846 Simplifying z = 0.3846153846
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