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Simplifying 12.4 + 8.6n = -3.4(-3n + -4) Reorder the terms: 12.4 + 8.6n = -3.4(-4 + -3n) 12.4 + 8.6n = (-4 * -3.4 + -3n * -3.4) 12.4 + 8.6n = (13.6 + 10.2n) Solving 12.4 + 8.6n = 13.6 + 10.2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-10.2n' to each side of the equation. 12.4 + 8.6n + -10.2n = 13.6 + 10.2n + -10.2n Combine like terms: 8.6n + -10.2n = -1.6n 12.4 + -1.6n = 13.6 + 10.2n + -10.2n Combine like terms: 10.2n + -10.2n = 0.0 12.4 + -1.6n = 13.6 + 0.0 12.4 + -1.6n = 13.6 Add '-12.4' to each side of the equation. 12.4 + -12.4 + -1.6n = 13.6 + -12.4 Combine like terms: 12.4 + -12.4 = 0.0 0.0 + -1.6n = 13.6 + -12.4 -1.6n = 13.6 + -12.4 Combine like terms: 13.6 + -12.4 = 1.2 -1.6n = 1.2 Divide each side by '-1.6'. n = -0.75 Simplifying n = -0.75
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