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Simplifying 0.4(5 + -0.4n) = -3.2n (5 * 0.4 + -0.4n * 0.4) = -3.2n (2 + -0.16n) = -3.2n Solving 2 + -0.16n = -3.2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3.2n' to each side of the equation. 2 + -0.16n + 3.2n = -3.2n + 3.2n Combine like terms: -0.16n + 3.2n = 3.04n 2 + 3.04n = -3.2n + 3.2n Combine like terms: -3.2n + 3.2n = 0.0 2 + 3.04n = 0.0 Add '-2' to each side of the equation. 2 + -2 + 3.04n = 0.0 + -2 Combine like terms: 2 + -2 = 0 0 + 3.04n = 0.0 + -2 3.04n = 0.0 + -2 Combine like terms: 0.0 + -2 = -2 3.04n = -2 Divide each side by '3.04'. n = -0.6578947368 Simplifying n = -0.6578947368
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