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Simplifying 9z + -1z = 3 + 2z + -3 + -12 Combine like terms: 9z + -1z = 8z 8z = 3 + 2z + -3 + -12 Reorder the terms: 8z = 3 + -3 + -12 + 2z Combine like terms: 3 + -3 = 0 8z = 0 + -12 + 2z 8z = -12 + 2z Solving 8z = -12 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 8z + -2z = -12 + 2z + -2z Combine like terms: 8z + -2z = 6z 6z = -12 + 2z + -2z Combine like terms: 2z + -2z = 0 6z = -12 + 0 6z = -12 Divide each side by '6'. z = -2 Simplifying z = -2
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