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Simplifying 4 + 11z + -1 = 7z + 57 + -2z Reorder the terms: 4 + -1 + 11z = 7z + 57 + -2z Combine like terms: 4 + -1 = 3 3 + 11z = 7z + 57 + -2z Reorder the terms: 3 + 11z = 57 + 7z + -2z Combine like terms: 7z + -2z = 5z 3 + 11z = 57 + 5z Solving 3 + 11z = 57 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 3 + 11z + -5z = 57 + 5z + -5z Combine like terms: 11z + -5z = 6z 3 + 6z = 57 + 5z + -5z Combine like terms: 5z + -5z = 0 3 + 6z = 57 + 0 3 + 6z = 57 Add '-3' to each side of the equation. 3 + -3 + 6z = 57 + -3 Combine like terms: 3 + -3 = 0 0 + 6z = 57 + -3 6z = 57 + -3 Combine like terms: 57 + -3 = 54 6z = 54 Divide each side by '6'. z = 9 Simplifying z = 9
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