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Simplifying 13z + 20 + -9 = 17z + -5 Reorder the terms: 20 + -9 + 13z = 17z + -5 Combine like terms: 20 + -9 = 11 11 + 13z = 17z + -5 Reorder the terms: 11 + 13z = -5 + 17z Solving 11 + 13z = -5 + 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. 11 + 13z + -17z = -5 + 17z + -17z Combine like terms: 13z + -17z = -4z 11 + -4z = -5 + 17z + -17z Combine like terms: 17z + -17z = 0 11 + -4z = -5 + 0 11 + -4z = -5 Add '-11' to each side of the equation. 11 + -11 + -4z = -5 + -11 Combine like terms: 11 + -11 = 0 0 + -4z = -5 + -11 -4z = -5 + -11 Combine like terms: -5 + -11 = -16 -4z = -16 Divide each side by '-4'. z = 4 Simplifying z = 4
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