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Simplifying 9 + 14z + -5 = 7z + 84 + -3z Reorder the terms: 9 + -5 + 14z = 7z + 84 + -3z Combine like terms: 9 + -5 = 4 4 + 14z = 7z + 84 + -3z Reorder the terms: 4 + 14z = 84 + 7z + -3z Combine like terms: 7z + -3z = 4z 4 + 14z = 84 + 4z Solving 4 + 14z = 84 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 4 + 14z + -4z = 84 + 4z + -4z Combine like terms: 14z + -4z = 10z 4 + 10z = 84 + 4z + -4z Combine like terms: 4z + -4z = 0 4 + 10z = 84 + 0 4 + 10z = 84 Add '-4' to each side of the equation. 4 + -4 + 10z = 84 + -4 Combine like terms: 4 + -4 = 0 0 + 10z = 84 + -4 10z = 84 + -4 Combine like terms: 84 + -4 = 80 10z = 80 Divide each side by '10'. z = 8 Simplifying z = 8
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