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Simplifying 12n + -23.2 = -14 + 28.8 Reorder the terms: -23.2 + 12n = -14 + 28.8 Combine like terms: -14 + 28.8 = 14.8 -23.2 + 12n = 14.8 Solving -23.2 + 12n = 14.8 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '23.2' to each side of the equation. -23.2 + 23.2 + 12n = 14.8 + 23.2 Combine like terms: -23.2 + 23.2 = 0.0 0.0 + 12n = 14.8 + 23.2 12n = 14.8 + 23.2 Combine like terms: 14.8 + 23.2 = 38 12n = 38 Divide each side by '12'. n = 3.166666667 Simplifying n = 3.166666667
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