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Simplifying 4.3n + -2.1(n + -4) = 30.4 Reorder the terms: 4.3n + -2.1(-4 + n) = 30.4 4.3n + (-4 * -2.1 + n * -2.1) = 30.4 4.3n + (8.4 + -2.1n) = 30.4 Reorder the terms: 8.4 + 4.3n + -2.1n = 30.4 Combine like terms: 4.3n + -2.1n = 2.2n 8.4 + 2.2n = 30.4 Solving 8.4 + 2.2n = 30.4 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8.4' to each side of the equation. 8.4 + -8.4 + 2.2n = 30.4 + -8.4 Combine like terms: 8.4 + -8.4 = 0.0 0.0 + 2.2n = 30.4 + -8.4 2.2n = 30.4 + -8.4 Combine like terms: 30.4 + -8.4 = 22 2.2n = 22 Divide each side by '2.2'. n = 10 Simplifying n = 10
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