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Simplifying -3.1 = 5.7z + -4.7z + 8.1 Reorder the terms: -3.1 = 8.1 + 5.7z + -4.7z Combine like terms: 5.7z + -4.7z = 1z -3.1 = 8.1 + 1z Solving -3.1 = 8.1 + 1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. -3.1 + -1z = 8.1 + 1z + -1z Combine like terms: 1z + -1z = 0 -3.1 + -1z = 8.1 + 0 -3.1 + -1z = 8.1 Add '3.1' to each side of the equation. -3.1 + 3.1 + -1z = 8.1 + 3.1 Combine like terms: -3.1 + 3.1 = 0.0 0.0 + -1z = 8.1 + 3.1 -1z = 8.1 + 3.1 Combine like terms: 8.1 + 3.1 = 11.2 -1z = 11.2 Divide each side by '-1'. z = -11.2 Simplifying z = -11.2
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