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Simplifying 8z + 11 = -10 + -5.5z Reorder the terms: 11 + 8z = -10 + -5.5z Solving 11 + 8z = -10 + -5.5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '5.5z' to each side of the equation. 11 + 8z + 5.5z = -10 + -5.5z + 5.5z Combine like terms: 8z + 5.5z = 13.5z 11 + 13.5z = -10 + -5.5z + 5.5z Combine like terms: -5.5z + 5.5z = 0.0 11 + 13.5z = -10 + 0.0 11 + 13.5z = -10 Add '-11' to each side of the equation. 11 + -11 + 13.5z = -10 + -11 Combine like terms: 11 + -11 = 0 0 + 13.5z = -10 + -11 13.5z = -10 + -11 Combine like terms: -10 + -11 = -21 13.5z = -21 Divide each side by '13.5'. z = -1.555555556 Simplifying z = -1.555555556
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