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Simplifying 4 + 18z + -1 = 9z + 29 + -4z Reorder the terms: 4 + -1 + 18z = 9z + 29 + -4z Combine like terms: 4 + -1 = 3 3 + 18z = 9z + 29 + -4z Reorder the terms: 3 + 18z = 29 + 9z + -4z Combine like terms: 9z + -4z = 5z 3 + 18z = 29 + 5z Solving 3 + 18z = 29 + 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. 3 + 18z + -5z = 29 + 5z + -5z Combine like terms: 18z + -5z = 13z 3 + 13z = 29 + 5z + -5z Combine like terms: 5z + -5z = 0 3 + 13z = 29 + 0 3 + 13z = 29 Add '-3' to each side of the equation. 3 + -3 + 13z = 29 + -3 Combine like terms: 3 + -3 = 0 0 + 13z = 29 + -3 13z = 29 + -3 Combine like terms: 29 + -3 = 26 13z = 26 Divide each side by '13'. z = 2 Simplifying z = 2
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