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Simplifying 13z + 31 = 17z + -4 Reorder the terms: 31 + 13z = 17z + -4 Reorder the terms: 31 + 13z = -4 + 17z Solving 31 + 13z = -4 + 17z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-17z' to each side of the equation. 31 + 13z + -17z = -4 + 17z + -17z Combine like terms: 13z + -17z = -4z 31 + -4z = -4 + 17z + -17z Combine like terms: 17z + -17z = 0 31 + -4z = -4 + 0 31 + -4z = -4 Add '-31' to each side of the equation. 31 + -31 + -4z = -4 + -31 Combine like terms: 31 + -31 = 0 0 + -4z = -4 + -31 -4z = -4 + -31 Combine like terms: -4 + -31 = -35 -4z = -35 Divide each side by '-4'. z = 8.75 Simplifying z = 8.75
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