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Simplifying 12z + 3 + -6z + 9 = 3z Reorder the terms: 3 + 9 + 12z + -6z = 3z Combine like terms: 3 + 9 = 12 12 + 12z + -6z = 3z Combine like terms: 12z + -6z = 6z 12 + 6z = 3z Solving 12 + 6z = 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. 12 + 6z + -3z = 3z + -3z Combine like terms: 6z + -3z = 3z 12 + 3z = 3z + -3z Combine like terms: 3z + -3z = 0 12 + 3z = 0 Add '-12' to each side of the equation. 12 + -12 + 3z = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 3z = 0 + -12 3z = 0 + -12 Combine like terms: 0 + -12 = -12 3z = -12 Divide each side by '3'. z = -4 Simplifying z = -4
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