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Simplifying 9 + 3z + -6 = 9z + 12 + -3z Reorder the terms: 9 + -6 + 3z = 9z + 12 + -3z Combine like terms: 9 + -6 = 3 3 + 3z = 9z + 12 + -3z Reorder the terms: 3 + 3z = 12 + 9z + -3z Combine like terms: 9z + -3z = 6z 3 + 3z = 12 + 6z Solving 3 + 3z = 12 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. 3 + 3z + -6z = 12 + 6z + -6z Combine like terms: 3z + -6z = -3z 3 + -3z = 12 + 6z + -6z Combine like terms: 6z + -6z = 0 3 + -3z = 12 + 0 3 + -3z = 12 Add '-3' to each side of the equation. 3 + -3 + -3z = 12 + -3 Combine like terms: 3 + -3 = 0 0 + -3z = 12 + -3 -3z = 12 + -3 Combine like terms: 12 + -3 = 9 -3z = 9 Divide each side by '-3'. z = -3 Simplifying z = -3
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