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Simplifying 8 + 8z + -2 = 9z + 36 + -7z Reorder the terms: 8 + -2 + 8z = 9z + 36 + -7z Combine like terms: 8 + -2 = 6 6 + 8z = 9z + 36 + -7z Reorder the terms: 6 + 8z = 36 + 9z + -7z Combine like terms: 9z + -7z = 2z 6 + 8z = 36 + 2z Solving 6 + 8z = 36 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 6 + 8z + -2z = 36 + 2z + -2z Combine like terms: 8z + -2z = 6z 6 + 6z = 36 + 2z + -2z Combine like terms: 2z + -2z = 0 6 + 6z = 36 + 0 6 + 6z = 36 Add '-6' to each side of the equation. 6 + -6 + 6z = 36 + -6 Combine like terms: 6 + -6 = 0 0 + 6z = 36 + -6 6z = 36 + -6 Combine like terms: 36 + -6 = 30 6z = 30 Divide each side by '6'. z = 5 Simplifying z = 5
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