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Simplifying 17 + 3z = 7z + 41 Reorder the terms: 17 + 3z = 41 + 7z Solving 17 + 3z = 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. 17 + 3z + -7z = 41 + 7z + -7z Combine like terms: 3z + -7z = -4z 17 + -4z = 41 + 7z + -7z Combine like terms: 7z + -7z = 0 17 + -4z = 41 + 0 17 + -4z = 41 Add '-17' to each side of the equation. 17 + -17 + -4z = 41 + -17 Combine like terms: 17 + -17 = 0 0 + -4z = 41 + -17 -4z = 41 + -17 Combine like terms: 41 + -17 = 24 -4z = 24 Divide each side by '-4'. z = -6 Simplifying z = -6
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