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Simplifying 52 + 109 = 5z + 1 Combine like terms: 52 + 109 = 161 161 = 5z + 1 Reorder the terms: 161 = 1 + 5z Solving 161 = 1 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 161 + -5z = 1 + 5z + -5z Combine like terms: 5z + -5z = 0 161 + -5z = 1 + 0 161 + -5z = 1 Add '-161' to each side of the equation. 161 + -161 + -5z = 1 + -161 Combine like terms: 161 + -161 = 0 0 + -5z = 1 + -161 -5z = 1 + -161 Combine like terms: 1 + -161 = -160 -5z = -160 Divide each side by '-5'. z = 32 Simplifying z = 32
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