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Simplifying 8z + -1z = -1 + 4z + -1 + -4 Combine like terms: 8z + -1z = 7z 7z = -1 + 4z + -1 + -4 Reorder the terms: 7z = -1 + -1 + -4 + 4z Combine like terms: -1 + -1 = -2 7z = -2 + -4 + 4z Combine like terms: -2 + -4 = -6 7z = -6 + 4z Solving 7z = -6 + 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. 7z + -4z = -6 + 4z + -4z Combine like terms: 7z + -4z = 3z 3z = -6 + 4z + -4z Combine like terms: 4z + -4z = 0 3z = -6 + 0 3z = -6 Divide each side by '3'. z = -2 Simplifying z = -2
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