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Simplifying 10z + -1z = -1 + 4z + -2 + -12 Combine like terms: 10z + -1z = 9z 9z = -1 + 4z + -2 + -12 Reorder the terms: 9z = -1 + -2 + -12 + 4z Combine like terms: -1 + -2 = -3 9z = -3 + -12 + 4z Combine like terms: -3 + -12 = -15 9z = -15 + 4z Solving 9z = -15 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 9z + -4z = -15 + 4z + -4z Combine like terms: 9z + -4z = 5z 5z = -15 + 4z + -4z Combine like terms: 4z + -4z = 0 5z = -15 + 0 5z = -15 Divide each side by '5'. z = -3 Simplifying z = -3
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