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