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Simplifying 9 + 13z + -6 = 6z + 21 + -2z Reorder the terms: 9 + -6 + 13z = 6z + 21 + -2z Combine like terms: 9 + -6 = 3 3 + 13z = 6z + 21 + -2z Reorder the terms: 3 + 13z = 21 + 6z + -2z Combine like terms: 6z + -2z = 4z 3 + 13z = 21 + 4z Solving 3 + 13z = 21 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 3 + 13z + -4z = 21 + 4z + -4z Combine like terms: 13z + -4z = 9z 3 + 9z = 21 + 4z + -4z Combine like terms: 4z + -4z = 0 3 + 9z = 21 + 0 3 + 9z = 21 Add '-3' to each side of the equation. 3 + -3 + 9z = 21 + -3 Combine like terms: 3 + -3 = 0 0 + 9z = 21 + -3 9z = 21 + -3 Combine like terms: 21 + -3 = 18 9z = 18 Divide each side by '9'. z = 2 Simplifying z = 2
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