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Simplifying 3[8 + -4(n + -2)] + 5n = -20 + [5(1 + -1n) + -6n] Reorder the terms: 3[8 + -4(-2 + n)] + 5n = -20 + [5(1 + -1n) + -6n] 3[8 + (-2 * -4 + n * -4)] + 5n = -20 + [5(1 + -1n) + -6n] 3[8 + (8 + -4n)] + 5n = -20 + [5(1 + -1n) + -6n] Combine like terms: 8 + 8 = 16 3[16 + -4n] + 5n = -20 + [5(1 + -1n) + -6n] [16 * 3 + -4n * 3] + 5n = -20 + [5(1 + -1n) + -6n] [48 + -12n] + 5n = -20 + [5(1 + -1n) + -6n] Combine like terms: -12n + 5n = -7n 48 + -7n = -20 + [5(1 + -1n) + -6n] 48 + -7n = -20 + [(1 * 5 + -1n * 5) + -6n] 48 + -7n = -20 + [(5 + -5n) + -6n] Combine like terms: -5n + -6n = -11n 48 + -7n = -20 + [5 + -11n] Remove brackets around [5 + -11n] 48 + -7n = -20 + 5 + -11n Combine like terms: -20 + 5 = -15 48 + -7n = -15 + -11n Solving 48 + -7n = -15 + -11n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '11n' to each side of the equation. 48 + -7n + 11n = -15 + -11n + 11n Combine like terms: -7n + 11n = 4n 48 + 4n = -15 + -11n + 11n Combine like terms: -11n + 11n = 0 48 + 4n = -15 + 0 48 + 4n = -15 Add '-48' to each side of the equation. 48 + -48 + 4n = -15 + -48 Combine like terms: 48 + -48 = 0 0 + 4n = -15 + -48 4n = -15 + -48 Combine like terms: -15 + -48 = -63 4n = -63 Divide each side by '4'. n = -15.75 Simplifying n = -15.75
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