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Simplifying 13z + 5 = z + 12 Reorder the terms: 5 + 13z = z + 12 Reorder the terms: 5 + 13z = 12 + z Solving 5 + 13z = 12 + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. 5 + 13z + -1z = 12 + z + -1z Combine like terms: 13z + -1z = 12z 5 + 12z = 12 + z + -1z Combine like terms: z + -1z = 0 5 + 12z = 12 + 0 5 + 12z = 12 Add '-5' to each side of the equation. 5 + -5 + 12z = 12 + -5 Combine like terms: 5 + -5 = 0 0 + 12z = 12 + -5 12z = 12 + -5 Combine like terms: 12 + -5 = 7 12z = 7 Divide each side by '12'. z = 0.5833333333 Simplifying z = 0.5833333333
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