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Simplifying 9z + -1z = -2 + 3z + -1 + -12 Combine like terms: 9z + -1z = 8z 8z = -2 + 3z + -1 + -12 Reorder the terms: 8z = -2 + -1 + -12 + 3z Combine like terms: -2 + -1 = -3 8z = -3 + -12 + 3z Combine like terms: -3 + -12 = -15 8z = -15 + 3z Solving 8z = -15 + 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. 8z + -3z = -15 + 3z + -3z Combine like terms: 8z + -3z = 5z 5z = -15 + 3z + -3z Combine like terms: 3z + -3z = 0 5z = -15 + 0 5z = -15 Divide each side by '5'. z = -3 Simplifying z = -3
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