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Simplifying z + -8z = 7z + -6 + -1z Combine like terms: z + -8z = -7z -7z = 7z + -6 + -1z Reorder the terms: -7z = -6 + 7z + -1z Combine like terms: 7z + -1z = 6z -7z = -6 + 6z Solving -7z = -6 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. -7z + -6z = -6 + 6z + -6z Combine like terms: -7z + -6z = -13z -13z = -6 + 6z + -6z Combine like terms: 6z + -6z = 0 -13z = -6 + 0 -13z = -6 Divide each side by '-13'. z = 0.4615384615 Simplifying z = 0.4615384615
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