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Simplifying 9 + 13z + -7 = 6z + 82 + -3z Reorder the terms: 9 + -7 + 13z = 6z + 82 + -3z Combine like terms: 9 + -7 = 2 2 + 13z = 6z + 82 + -3z Reorder the terms: 2 + 13z = 82 + 6z + -3z Combine like terms: 6z + -3z = 3z 2 + 13z = 82 + 3z Solving 2 + 13z = 82 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 2 + 13z + -3z = 82 + 3z + -3z Combine like terms: 13z + -3z = 10z 2 + 10z = 82 + 3z + -3z Combine like terms: 3z + -3z = 0 2 + 10z = 82 + 0 2 + 10z = 82 Add '-2' to each side of the equation. 2 + -2 + 10z = 82 + -2 Combine like terms: 2 + -2 = 0 0 + 10z = 82 + -2 10z = 82 + -2 Combine like terms: 82 + -2 = 80 10z = 80 Divide each side by '10'. z = 8 Simplifying z = 8
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