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Simplifying -5z + 6 + 5.5z = -29.5 Reorder the terms: 6 + -5z + 5.5z = -29.5 Combine like terms: -5z + 5.5z = 0.5z 6 + 0.5z = -29.5 Solving 6 + 0.5z = -29.5 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 0.5z = -29.5 + -6 Combine like terms: 6 + -6 = 0 0 + 0.5z = -29.5 + -6 0.5z = -29.5 + -6 Combine like terms: -29.5 + -6 = -35.5 0.5z = -35.5 Divide each side by '0.5'. z = -71 Simplifying z = -71
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