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Simplifying 10z + 14 = 7z + 41 Reorder the terms: 14 + 10z = 7z + 41 Reorder the terms: 14 + 10z = 41 + 7z Solving 14 + 10z = 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. 14 + 10z + -7z = 41 + 7z + -7z Combine like terms: 10z + -7z = 3z 14 + 3z = 41 + 7z + -7z Combine like terms: 7z + -7z = 0 14 + 3z = 41 + 0 14 + 3z = 41 Add '-14' to each side of the equation. 14 + -14 + 3z = 41 + -14 Combine like terms: 14 + -14 = 0 0 + 3z = 41 + -14 3z = 41 + -14 Combine like terms: 41 + -14 = 27 3z = 27 Divide each side by '3'. z = 9 Simplifying z = 9
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