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Simplifying 8z + -1z = -3 + 5z + -1 + -2 Combine like terms: 8z + -1z = 7z 7z = -3 + 5z + -1 + -2 Reorder the terms: 7z = -3 + -1 + -2 + 5z Combine like terms: -3 + -1 = -4 7z = -4 + -2 + 5z Combine like terms: -4 + -2 = -6 7z = -6 + 5z Solving 7z = -6 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 7z + -5z = -6 + 5z + -5z Combine like terms: 7z + -5z = 2z 2z = -6 + 5z + -5z Combine like terms: 5z + -5z = 0 2z = -6 + 0 2z = -6 Divide each side by '2'. z = -3 Simplifying z = -3
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