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Simplifying 5z + 6.8 + 4.5z + -3.7z + -1 = 0 Reorder the terms: 6.8 + -1 + 5z + 4.5z + -3.7z = 0 Combine like terms: 6.8 + -1 = 5.8 5.8 + 5z + 4.5z + -3.7z = 0 Combine like terms: 5z + 4.5z = 9.5z 5.8 + 9.5z + -3.7z = 0 Combine like terms: 9.5z + -3.7z = 5.8z 5.8 + 5.8z = 0 Solving 5.8 + 5.8z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5.8' to each side of the equation. 5.8 + -5.8 + 5.8z = 0 + -5.8 Combine like terms: 5.8 + -5.8 = 0.0 0.0 + 5.8z = 0 + -5.8 5.8z = 0 + -5.8 Combine like terms: 0 + -5.8 = -5.8 5.8z = -5.8 Divide each side by '5.8'. z = -1 Simplifying z = -1
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