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Simplifying 9z + -6 + -1z = z + -6z Reorder the terms: -6 + 9z + -1z = z + -6z Combine like terms: 9z + -1z = 8z -6 + 8z = z + -6z Combine like terms: z + -6z = -5z -6 + 8z = -5z Solving -6 + 8z = -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. -6 + 8z + 5z = -5z + 5z Combine like terms: 8z + 5z = 13z -6 + 13z = -5z + 5z Combine like terms: -5z + 5z = 0 -6 + 13z = 0 Add '6' to each side of the equation. -6 + 6 + 13z = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 13z = 0 + 6 13z = 0 + 6 Combine like terms: 0 + 6 = 6 13z = 6 Divide each side by '13'. z = 0.4615384615 Simplifying z = 0.4615384615
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