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Simplifying 0.4(5 + -0.4n) = -4.2 (5 * 0.4 + -0.4n * 0.4) = -4.2 (2 + -0.16n) = -4.2 Solving 2 + -0.16n = -4.2 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -0.16n = -4.2 + -2 Combine like terms: 2 + -2 = 0 0 + -0.16n = -4.2 + -2 -0.16n = -4.2 + -2 Combine like terms: -4.2 + -2 = -6.2 -0.16n = -6.2 Divide each side by '-0.16'. n = 38.75 Simplifying n = 38.75
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