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Simplifying 10z + 5 + 14z + 7 = 180 Reorder the terms: 5 + 7 + 10z + 14z = 180 Combine like terms: 5 + 7 = 12 12 + 10z + 14z = 180 Combine like terms: 10z + 14z = 24z 12 + 24z = 180 Solving 12 + 24z = 180 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 24z = 180 + -12 Combine like terms: 12 + -12 = 0 0 + 24z = 180 + -12 24z = 180 + -12 Combine like terms: 180 + -12 = 168 24z = 168 Divide each side by '24'. z = 7 Simplifying z = 7
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