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Simplifying 10z + -1z = -1 + 4z + -1 + -8 Combine like terms: 10z + -1z = 9z 9z = -1 + 4z + -1 + -8 Reorder the terms: 9z = -1 + -1 + -8 + 4z Combine like terms: -1 + -1 = -2 9z = -2 + -8 + 4z Combine like terms: -2 + -8 = -10 9z = -10 + 4z Solving 9z = -10 + 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 = -10 + 4z + -4z Combine like terms: 9z + -4z = 5z 5z = -10 + 4z + -4z Combine like terms: 4z + -4z = 0 5z = -10 + 0 5z = -10 Divide each side by '5'. z = -2 Simplifying z = -2
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