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Simplifying 2.4z + -1.4z + -7.1 = 2.1 + 5.9 Reorder the terms: -7.1 + 2.4z + -1.4z = 2.1 + 5.9 Combine like terms: 2.4z + -1.4z = 1z -7.1 + 1z = 2.1 + 5.9 Combine like terms: 2.1 + 5.9 = 8 -7.1 + 1z = 8 Solving -7.1 + 1z = 8 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '7.1' to each side of the equation. -7.1 + 7.1 + 1z = 8 + 7.1 Combine like terms: -7.1 + 7.1 = 0.0 0.0 + 1z = 8 + 7.1 1z = 8 + 7.1 Combine like terms: 8 + 7.1 = 15.1 1z = 15.1 Divide each side by '1'. z = 15.1 Simplifying z = 15.1
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