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