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Simplifying 24 + 8z + -24 = 7z + 1 Reorder the terms: 24 + -24 + 8z = 7z + 1 Combine like terms: 24 + -24 = 0 0 + 8z = 7z + 1 8z = 7z + 1 Reorder the terms: 8z = 1 + 7z Solving 8z = 1 + 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. 8z + -7z = 1 + 7z + -7z Combine like terms: 8z + -7z = 1z 1z = 1 + 7z + -7z Combine like terms: 7z + -7z = 0 1z = 1 + 0 1z = 1 Divide each side by '1'. z = 1 Simplifying z = 1
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