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Simplifying 9 + 6z + -2 = 9z + 21 + -5z Reorder the terms: 9 + -2 + 6z = 9z + 21 + -5z Combine like terms: 9 + -2 = 7 7 + 6z = 9z + 21 + -5z Reorder the terms: 7 + 6z = 21 + 9z + -5z Combine like terms: 9z + -5z = 4z 7 + 6z = 21 + 4z Solving 7 + 6z = 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. 7 + 6z + -4z = 21 + 4z + -4z Combine like terms: 6z + -4z = 2z 7 + 2z = 21 + 4z + -4z Combine like terms: 4z + -4z = 0 7 + 2z = 21 + 0 7 + 2z = 21 Add '-7' to each side of the equation. 7 + -7 + 2z = 21 + -7 Combine like terms: 7 + -7 = 0 0 + 2z = 21 + -7 2z = 21 + -7 Combine like terms: 21 + -7 = 14 2z = 14 Divide each side by '2'. z = 7 Simplifying z = 7
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