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Simplifying 5z + -4.1 + 3.9z + -0.4z + -1 = 0 Reorder the terms: -4.1 + -1 + 5z + 3.9z + -0.4z = 0 Combine like terms: -4.1 + -1 = -5.1 -5.1 + 5z + 3.9z + -0.4z = 0 Combine like terms: 5z + 3.9z = 8.9z -5.1 + 8.9z + -0.4z = 0 Combine like terms: 8.9z + -0.4z = 8.5z -5.1 + 8.5z = 0 Solving -5.1 + 8.5z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '5.1' to each side of the equation. -5.1 + 5.1 + 8.5z = 0 + 5.1 Combine like terms: -5.1 + 5.1 = 0.0 0.0 + 8.5z = 0 + 5.1 8.5z = 0 + 5.1 Combine like terms: 0 + 5.1 = 5.1 8.5z = 5.1 Divide each side by '8.5'. z = 0.6 Simplifying z = 0.6
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