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Simplifying 7z + 24 = 3z + 92 Reorder the terms: 24 + 7z = 3z + 92 Reorder the terms: 24 + 7z = 92 + 3z Solving 24 + 7z = 92 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 24 + 7z + -3z = 92 + 3z + -3z Combine like terms: 7z + -3z = 4z 24 + 4z = 92 + 3z + -3z Combine like terms: 3z + -3z = 0 24 + 4z = 92 + 0 24 + 4z = 92 Add '-24' to each side of the equation. 24 + -24 + 4z = 92 + -24 Combine like terms: 24 + -24 = 0 0 + 4z = 92 + -24 4z = 92 + -24 Combine like terms: 92 + -24 = 68 4z = 68 Divide each side by '4'. z = 17 Simplifying z = 17
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