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Simplifying 9n + 4[3n + -4(2n + -3)] = 2 + -3(2n + 4) Reorder the terms: 9n + 4[3n + -4(-3 + 2n)] = 2 + -3(2n + 4) 9n + 4[3n + (-3 * -4 + 2n * -4)] = 2 + -3(2n + 4) 9n + 4[3n + (12 + -8n)] = 2 + -3(2n + 4) Reorder the terms: 9n + 4[12 + 3n + -8n] = 2 + -3(2n + 4) Combine like terms: 3n + -8n = -5n 9n + 4[12 + -5n] = 2 + -3(2n + 4) 9n + [12 * 4 + -5n * 4] = 2 + -3(2n + 4) 9n + [48 + -20n] = 2 + -3(2n + 4) Reorder the terms: 48 + 9n + -20n = 2 + -3(2n + 4) Combine like terms: 9n + -20n = -11n 48 + -11n = 2 + -3(2n + 4) Reorder the terms: 48 + -11n = 2 + -3(4 + 2n) 48 + -11n = 2 + (4 * -3 + 2n * -3) 48 + -11n = 2 + (-12 + -6n) Combine like terms: 2 + -12 = -10 48 + -11n = -10 + -6n Solving 48 + -11n = -10 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. 48 + -11n + 6n = -10 + -6n + 6n Combine like terms: -11n + 6n = -5n 48 + -5n = -10 + -6n + 6n Combine like terms: -6n + 6n = 0 48 + -5n = -10 + 0 48 + -5n = -10 Add '-48' to each side of the equation. 48 + -48 + -5n = -10 + -48 Combine like terms: 48 + -48 = 0 0 + -5n = -10 + -48 -5n = -10 + -48 Combine like terms: -10 + -48 = -58 -5n = -58 Divide each side by '-5'. n = 11.6 Simplifying n = 11.6
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