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Simplifying 5z + 4.5 + -1z + 0.5 = 0 Reorder the terms: 4.5 + 0.5 + 5z + -1z = 0 Combine like terms: 4.5 + 0.5 = 5 5 + 5z + -1z = 0 Combine like terms: 5z + -1z = 4z 5 + 4z = 0 Solving 5 + 4z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 4z = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4z = 0 + -5 4z = 0 + -5 Combine like terms: 0 + -5 = -5 4z = -5 Divide each side by '4'. z = -1.25 Simplifying z = -1.25
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