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Simplifying 8 + 14z + -2 = 7z + 24 + -2z Reorder the terms: 8 + -2 + 14z = 7z + 24 + -2z Combine like terms: 8 + -2 = 6 6 + 14z = 7z + 24 + -2z Reorder the terms: 6 + 14z = 24 + 7z + -2z Combine like terms: 7z + -2z = 5z 6 + 14z = 24 + 5z Solving 6 + 14z = 24 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 6 + 14z + -5z = 24 + 5z + -5z Combine like terms: 14z + -5z = 9z 6 + 9z = 24 + 5z + -5z Combine like terms: 5z + -5z = 0 6 + 9z = 24 + 0 6 + 9z = 24 Add '-6' to each side of the equation. 6 + -6 + 9z = 24 + -6 Combine like terms: 6 + -6 = 0 0 + 9z = 24 + -6 9z = 24 + -6 Combine like terms: 24 + -6 = 18 9z = 18 Divide each side by '9'. z = 2 Simplifying z = 2
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