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Simplifying 6 + 17z = 13z + 18 Reorder the terms: 6 + 17z = 18 + 13z Solving 6 + 17z = 18 + 13z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-13z' to each side of the equation. 6 + 17z + -13z = 18 + 13z + -13z Combine like terms: 17z + -13z = 4z 6 + 4z = 18 + 13z + -13z Combine like terms: 13z + -13z = 0 6 + 4z = 18 + 0 6 + 4z = 18 Add '-6' to each side of the equation. 6 + -6 + 4z = 18 + -6 Combine like terms: 6 + -6 = 0 0 + 4z = 18 + -6 4z = 18 + -6 Combine like terms: 18 + -6 = 12 4z = 12 Divide each side by '4'. z = 3 Simplifying z = 3
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