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Simplifying 6z + -2.1 + 4.3z + -3.8z + 2 = 0 Reorder the terms: -2.1 + 2 + 6z + 4.3z + -3.8z = 0 Combine like terms: -2.1 + 2 = -0.1 -0.1 + 6z + 4.3z + -3.8z = 0 Combine like terms: 6z + 4.3z = 10.3z -0.1 + 10.3z + -3.8z = 0 Combine like terms: 10.3z + -3.8z = 6.5z -0.1 + 6.5z = 0 Solving -0.1 + 6.5z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '0.1' to each side of the equation. -0.1 + 0.1 + 6.5z = 0 + 0.1 Combine like terms: -0.1 + 0.1 = 0.0 0.0 + 6.5z = 0 + 0.1 6.5z = 0 + 0.1 Combine like terms: 0 + 0.1 = 0.1 6.5z = 0.1 Divide each side by '6.5'. z = 0.01538461538 Simplifying z = 0.01538461538
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