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Simplifying 9 + 11z + -1 = 8z + 50 + -4z Reorder the terms: 9 + -1 + 11z = 8z + 50 + -4z Combine like terms: 9 + -1 = 8 8 + 11z = 8z + 50 + -4z Reorder the terms: 8 + 11z = 50 + 8z + -4z Combine like terms: 8z + -4z = 4z 8 + 11z = 50 + 4z Solving 8 + 11z = 50 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 8 + 11z + -4z = 50 + 4z + -4z Combine like terms: 11z + -4z = 7z 8 + 7z = 50 + 4z + -4z Combine like terms: 4z + -4z = 0 8 + 7z = 50 + 0 8 + 7z = 50 Add '-8' to each side of the equation. 8 + -8 + 7z = 50 + -8 Combine like terms: 8 + -8 = 0 0 + 7z = 50 + -8 7z = 50 + -8 Combine like terms: 50 + -8 = 42 7z = 42 Divide each side by '7'. z = 6 Simplifying z = 6
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