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Simplifying 9 + 10z + -6 = 9z + 75 + -7z Reorder the terms: 9 + -6 + 10z = 9z + 75 + -7z Combine like terms: 9 + -6 = 3 3 + 10z = 9z + 75 + -7z Reorder the terms: 3 + 10z = 75 + 9z + -7z Combine like terms: 9z + -7z = 2z 3 + 10z = 75 + 2z Solving 3 + 10z = 75 + 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. 3 + 10z + -2z = 75 + 2z + -2z Combine like terms: 10z + -2z = 8z 3 + 8z = 75 + 2z + -2z Combine like terms: 2z + -2z = 0 3 + 8z = 75 + 0 3 + 8z = 75 Add '-3' to each side of the equation. 3 + -3 + 8z = 75 + -3 Combine like terms: 3 + -3 = 0 0 + 8z = 75 + -3 8z = 75 + -3 Combine like terms: 75 + -3 = 72 8z = 72 Divide each side by '8'. z = 9 Simplifying z = 9
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