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Simplifying 9 + 11z + -2 = 7z + 23 + -4z Reorder the terms: 9 + -2 + 11z = 7z + 23 + -4z Combine like terms: 9 + -2 = 7 7 + 11z = 7z + 23 + -4z Reorder the terms: 7 + 11z = 23 + 7z + -4z Combine like terms: 7z + -4z = 3z 7 + 11z = 23 + 3z Solving 7 + 11z = 23 + 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. 7 + 11z + -3z = 23 + 3z + -3z Combine like terms: 11z + -3z = 8z 7 + 8z = 23 + 3z + -3z Combine like terms: 3z + -3z = 0 7 + 8z = 23 + 0 7 + 8z = 23 Add '-7' to each side of the equation. 7 + -7 + 8z = 23 + -7 Combine like terms: 7 + -7 = 0 0 + 8z = 23 + -7 8z = 23 + -7 Combine like terms: 23 + -7 = 16 8z = 16 Divide each side by '8'. z = 2 Simplifying z = 2
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