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Simplifying 12.4 + 15.1n = 6.5n + -3.4(-3n + -4) Reorder the terms: 12.4 + 15.1n = 6.5n + -3.4(-4 + -3n) 12.4 + 15.1n = 6.5n + (-4 * -3.4 + -3n * -3.4) 12.4 + 15.1n = 6.5n + (13.6 + 10.2n) Reorder the terms: 12.4 + 15.1n = 13.6 + 6.5n + 10.2n Combine like terms: 6.5n + 10.2n = 16.7n 12.4 + 15.1n = 13.6 + 16.7n Solving 12.4 + 15.1n = 13.6 + 16.7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-16.7n' to each side of the equation. 12.4 + 15.1n + -16.7n = 13.6 + 16.7n + -16.7n Combine like terms: 15.1n + -16.7n = -1.6n 12.4 + -1.6n = 13.6 + 16.7n + -16.7n Combine like terms: 16.7n + -16.7n = 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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