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Simplifying 6 + 18z + -2 = 9z + 17 + -4z Reorder the terms: 6 + -2 + 18z = 9z + 17 + -4z Combine like terms: 6 + -2 = 4 4 + 18z = 9z + 17 + -4z Reorder the terms: 4 + 18z = 17 + 9z + -4z Combine like terms: 9z + -4z = 5z 4 + 18z = 17 + 5z Solving 4 + 18z = 17 + 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. 4 + 18z + -5z = 17 + 5z + -5z Combine like terms: 18z + -5z = 13z 4 + 13z = 17 + 5z + -5z Combine like terms: 5z + -5z = 0 4 + 13z = 17 + 0 4 + 13z = 17 Add '-4' to each side of the equation. 4 + -4 + 13z = 17 + -4 Combine like terms: 4 + -4 = 0 0 + 13z = 17 + -4 13z = 17 + -4 Combine like terms: 17 + -4 = 13 13z = 13 Divide each side by '13'. z = 1 Simplifying z = 1
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