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Simplifying 7z + 4 = 3z + 24 Reorder the terms: 4 + 7z = 3z + 24 Reorder the terms: 4 + 7z = 24 + 3z Solving 4 + 7z = 24 + 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. 4 + 7z + -3z = 24 + 3z + -3z Combine like terms: 7z + -3z = 4z 4 + 4z = 24 + 3z + -3z Combine like terms: 3z + -3z = 0 4 + 4z = 24 + 0 4 + 4z = 24 Add '-4' to each side of the equation. 4 + -4 + 4z = 24 + -4 Combine like terms: 4 + -4 = 0 0 + 4z = 24 + -4 4z = 24 + -4 Combine like terms: 24 + -4 = 20 4z = 20 Divide each side by '4'. z = 5 Simplifying z = 5
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