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Simplifying 8z + -1z = 1 + 3z + -1 + -10 Combine like terms: 8z + -1z = 7z 7z = 1 + 3z + -1 + -10 Reorder the terms: 7z = 1 + -1 + -10 + 3z Combine like terms: 1 + -1 = 0 7z = 0 + -10 + 3z 7z = -10 + 3z Solving 7z = -10 + 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. 7z + -3z = -10 + 3z + -3z Combine like terms: 7z + -3z = 4z 4z = -10 + 3z + -3z Combine like terms: 3z + -3z = 0 4z = -10 + 0 4z = -10 Divide each side by '4'. z = -2.5 Simplifying z = -2.5
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