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Simplifying z + 9 = -7z + -6 Reorder the terms: 9 + z = -7z + -6 Reorder the terms: 9 + z = -6 + -7z Solving 9 + z = -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. 9 + z + 7z = -6 + -7z + 7z Combine like terms: z + 7z = 8z 9 + 8z = -6 + -7z + 7z Combine like terms: -7z + 7z = 0 9 + 8z = -6 + 0 9 + 8z = -6 Add '-9' to each side of the equation. 9 + -9 + 8z = -6 + -9 Combine like terms: 9 + -9 = 0 0 + 8z = -6 + -9 8z = -6 + -9 Combine like terms: -6 + -9 = -15 8z = -15 Divide each side by '8'. z = -1.875 Simplifying z = -1.875
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