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Simplifying 6 + -7z = z + 9 Reorder the terms: 6 + -7z = 9 + z Solving 6 + -7z = 9 + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. 6 + -7z + -1z = 9 + z + -1z Combine like terms: -7z + -1z = -8z 6 + -8z = 9 + z + -1z Combine like terms: z + -1z = 0 6 + -8z = 9 + 0 6 + -8z = 9 Add '-6' to each side of the equation. 6 + -6 + -8z = 9 + -6 Combine like terms: 6 + -6 = 0 0 + -8z = 9 + -6 -8z = 9 + -6 Combine like terms: 9 + -6 = 3 -8z = 3 Divide each side by '-8'. z = -0.375 Simplifying z = -0.375
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