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Simplifying 4z + 3.8 = 3.12 + 10.46 Reorder the terms: 3.8 + 4z = 3.12 + 10.46 Combine like terms: 3.12 + 10.46 = 13.58 3.8 + 4z = 13.58 Solving 3.8 + 4z = 13.58 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3.8' to each side of the equation. 3.8 + -3.8 + 4z = 13.58 + -3.8 Combine like terms: 3.8 + -3.8 = 0.0 0.0 + 4z = 13.58 + -3.8 4z = 13.58 + -3.8 Combine like terms: 13.58 + -3.8 = 9.78 4z = 9.78 Divide each side by '4'. z = 2.445 Simplifying z = 2.445
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