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Simplifying 9 + 3z + -3 = 9z + 12 + -3z Reorder the terms: 9 + -3 + 3z = 9z + 12 + -3z Combine like terms: 9 + -3 = 6 6 + 3z = 9z + 12 + -3z Reorder the terms: 6 + 3z = 12 + 9z + -3z Combine like terms: 9z + -3z = 6z 6 + 3z = 12 + 6z Solving 6 + 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. 6 + 3z + -6z = 12 + 6z + -6z Combine like terms: 3z + -6z = -3z 6 + -3z = 12 + 6z + -6z Combine like terms: 6z + -6z = 0 6 + -3z = 12 + 0 6 + -3z = 12 Add '-6' to each side of the equation. 6 + -6 + -3z = 12 + -6 Combine like terms: 6 + -6 = 0 0 + -3z = 12 + -6 -3z = 12 + -6 Combine like terms: 12 + -6 = 6 -3z = 6 Divide each side by '-3'. z = -2 Simplifying z = -2
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