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