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Simplifying z(z4 + 1) = 8 + z5 Reorder the terms: z(1 + z4) = 8 + z5 (1 * z + z4 * z) = 8 + z5 (1z + z5) = 8 + z5 Add '-1z5' to each side of the equation. 1z + z5 + -1z5 = 8 + z5 + -1z5 Combine like terms: z5 + -1z5 = 0 1z + 0 = 8 + z5 + -1z5 1z = 8 + z5 + -1z5 Combine like terms: z5 + -1z5 = 0 1z = 8 + 0 1z = 8 Solving 1z = 8 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Divide each side by '1'. z = 8 Simplifying z = 8
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