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Simplifying 8z + 5z = 7z + -6 + 3z Combine like terms: 8z + 5z = 13z 13z = 7z + -6 + 3z Reorder the terms: 13z = -6 + 7z + 3z Combine like terms: 7z + 3z = 10z 13z = -6 + 10z Solving 13z = -6 + 10z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-10z' to each side of the equation. 13z + -10z = -6 + 10z + -10z Combine like terms: 13z + -10z = 3z 3z = -6 + 10z + -10z Combine like terms: 10z + -10z = 0 3z = -6 + 0 3z = -6 Divide each side by '3'. z = -2 Simplifying z = -2
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