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Simplifying z + 6 = 8z + -6 Reorder the terms: 6 + z = 8z + -6 Reorder the terms: 6 + z = -6 + 8z Solving 6 + z = -6 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. 6 + z + -8z = -6 + 8z + -8z Combine like terms: z + -8z = -7z 6 + -7z = -6 + 8z + -8z Combine like terms: 8z + -8z = 0 6 + -7z = -6 + 0 6 + -7z = -6 Add '-6' to each side of the equation. 6 + -6 + -7z = -6 + -6 Combine like terms: 6 + -6 = 0 0 + -7z = -6 + -6 -7z = -6 + -6 Combine like terms: -6 + -6 = -12 -7z = -12 Divide each side by '-7'. z = 1.714285714 Simplifying z = 1.714285714
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