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Simplifying 4 + 11z + -1 = 9z + 35 + -2z Reorder the terms: 4 + -1 + 11z = 9z + 35 + -2z Combine like terms: 4 + -1 = 3 3 + 11z = 9z + 35 + -2z Reorder the terms: 3 + 11z = 35 + 9z + -2z Combine like terms: 9z + -2z = 7z 3 + 11z = 35 + 7z Solving 3 + 11z = 35 + 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. 3 + 11z + -7z = 35 + 7z + -7z Combine like terms: 11z + -7z = 4z 3 + 4z = 35 + 7z + -7z Combine like terms: 7z + -7z = 0 3 + 4z = 35 + 0 3 + 4z = 35 Add '-3' to each side of the equation. 3 + -3 + 4z = 35 + -3 Combine like terms: 3 + -3 = 0 0 + 4z = 35 + -3 4z = 35 + -3 Combine like terms: 35 + -3 = 32 4z = 32 Divide each side by '4'. z = 8 Simplifying z = 8
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