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Simplifying 5 + 2z + 9z = 7z + 41 Combine like terms: 2z + 9z = 11z 5 + 11z = 7z + 41 Reorder the terms: 5 + 11z = 41 + 7z Solving 5 + 11z = 41 + 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. 5 + 11z + -7z = 41 + 7z + -7z Combine like terms: 11z + -7z = 4z 5 + 4z = 41 + 7z + -7z Combine like terms: 7z + -7z = 0 5 + 4z = 41 + 0 5 + 4z = 41 Add '-5' to each side of the equation. 5 + -5 + 4z = 41 + -5 Combine like terms: 5 + -5 = 0 0 + 4z = 41 + -5 4z = 41 + -5 Combine like terms: 41 + -5 = 36 4z = 36 Divide each side by '4'. z = 9 Simplifying z = 9
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