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Simplifying 3(8 + -4(n + -2)) + 5n = -20 + 2(5(1 + -1n) + -6n) Reorder the terms: 3(8 + -4(-2 + n)) + 5n = -20 + 2(5(1 + -1n) + -6n) 3(8 + (-2 * -4 + n * -4)) + 5n = -20 + 2(5(1 + -1n) + -6n) 3(8 + (8 + -4n)) + 5n = -20 + 2(5(1 + -1n) + -6n) Combine like terms: 8 + 8 = 16 3(16 + -4n) + 5n = -20 + 2(5(1 + -1n) + -6n) (16 * 3 + -4n * 3) + 5n = -20 + 2(5(1 + -1n) + -6n) (48 + -12n) + 5n = -20 + 2(5(1 + -1n) + -6n) Combine like terms: -12n + 5n = -7n 48 + -7n = -20 + 2(5(1 + -1n) + -6n) 48 + -7n = -20 + 2((1 * 5 + -1n * 5) + -6n) 48 + -7n = -20 + 2((5 + -5n) + -6n) Combine like terms: -5n + -6n = -11n 48 + -7n = -20 + 2(5 + -11n) 48 + -7n = -20 + (5 * 2 + -11n * 2) 48 + -7n = -20 + (10 + -22n) Combine like terms: -20 + 10 = -10 48 + -7n = -10 + -22n Solving 48 + -7n = -10 + -22n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '22n' to each side of the equation. 48 + -7n + 22n = -10 + -22n + 22n Combine like terms: -7n + 22n = 15n 48 + 15n = -10 + -22n + 22n Combine like terms: -22n + 22n = 0 48 + 15n = -10 + 0 48 + 15n = -10 Add '-48' to each side of the equation. 48 + -48 + 15n = -10 + -48 Combine like terms: 48 + -48 = 0 0 + 15n = -10 + -48 15n = -10 + -48 Combine like terms: -10 + -48 = -58 15n = -58 Divide each side by '15'. n = -3.866666667 Simplifying n = -3.866666667
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