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Simplifying z + 6z + 8 = 0 Reorder the terms: 8 + z + 6z = 0 Combine like terms: z + 6z = 7z 8 + 7z = 0 Solving 8 + 7z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 7z = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 7z = 0 + -8 7z = 0 + -8 Combine like terms: 0 + -8 = -8 7z = -8 Divide each side by '7'. z = -1.142857143 Simplifying z = -1.142857143
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