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Simplifying 3.4z + -2.4z + 5.2 = -1.4 Reorder the terms: 5.2 + 3.4z + -2.4z = -1.4 Combine like terms: 3.4z + -2.4z = 1z 5.2 + 1z = -1.4 Solving 5.2 + 1z = -1.4 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5.2' to each side of the equation. 5.2 + -5.2 + 1z = -1.4 + -5.2 Combine like terms: 5.2 + -5.2 = 0.0 0.0 + 1z = -1.4 + -5.2 1z = -1.4 + -5.2 Combine like terms: -1.4 + -5.2 = -6.6 1z = -6.6 Divide each side by '1'. z = -6.6 Simplifying z = -6.6
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