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Simplifying 12z + 10z + 7z + -24z + -2z + 4 = 43 Reorder the terms: 4 + 12z + 10z + 7z + -24z + -2z = 43 Combine like terms: 12z + 10z = 22z 4 + 22z + 7z + -24z + -2z = 43 Combine like terms: 22z + 7z = 29z 4 + 29z + -24z + -2z = 43 Combine like terms: 29z + -24z = 5z 4 + 5z + -2z = 43 Combine like terms: 5z + -2z = 3z 4 + 3z = 43 Solving 4 + 3z = 43 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3z = 43 + -4 Combine like terms: 4 + -4 = 0 0 + 3z = 43 + -4 3z = 43 + -4 Combine like terms: 43 + -4 = 39 3z = 39 Divide each side by '3'. z = 13 Simplifying z = 13
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