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Simplifying 7z + 2 = 9 + -1z Reorder the terms: 2 + 7z = 9 + -1z Solving 2 + 7z = 9 + -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. 2 + 7z + z = 9 + -1z + z Combine like terms: 7z + z = 8z 2 + 8z = 9 + -1z + z Combine like terms: -1z + z = 0 2 + 8z = 9 + 0 2 + 8z = 9 Add '-2' to each side of the equation. 2 + -2 + 8z = 9 + -2 Combine like terms: 2 + -2 = 0 0 + 8z = 9 + -2 8z = 9 + -2 Combine like terms: 9 + -2 = 7 8z = 7 Divide each side by '8'. z = 0.875 Simplifying z = 0.875
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