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Simplifying 5 + 18z + -2 = 9z + 123 + -6z Reorder the terms: 5 + -2 + 18z = 9z + 123 + -6z Combine like terms: 5 + -2 = 3 3 + 18z = 9z + 123 + -6z Reorder the terms: 3 + 18z = 123 + 9z + -6z Combine like terms: 9z + -6z = 3z 3 + 18z = 123 + 3z Solving 3 + 18z = 123 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 3 + 18z + -3z = 123 + 3z + -3z Combine like terms: 18z + -3z = 15z 3 + 15z = 123 + 3z + -3z Combine like terms: 3z + -3z = 0 3 + 15z = 123 + 0 3 + 15z = 123 Add '-3' to each side of the equation. 3 + -3 + 15z = 123 + -3 Combine like terms: 3 + -3 = 0 0 + 15z = 123 + -3 15z = 123 + -3 Combine like terms: 123 + -3 = 120 15z = 120 Divide each side by '15'. z = 8 Simplifying z = 8
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