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Simplifying 2(7 + -6(1 + -1n)) + 9n = -20 + 4(6(n + 1) + -3n) 2(7 + (1 * -6 + -1n * -6)) + 9n = -20 + 4(6(n + 1) + -3n) 2(7 + (-6 + 6n)) + 9n = -20 + 4(6(n + 1) + -3n) Combine like terms: 7 + -6 = 1 2(1 + 6n) + 9n = -20 + 4(6(n + 1) + -3n) (1 * 2 + 6n * 2) + 9n = -20 + 4(6(n + 1) + -3n) (2 + 12n) + 9n = -20 + 4(6(n + 1) + -3n) Combine like terms: 12n + 9n = 21n 2 + 21n = -20 + 4(6(n + 1) + -3n) Reorder the terms: 2 + 21n = -20 + 4(6(1 + n) + -3n) 2 + 21n = -20 + 4((1 * 6 + n * 6) + -3n) 2 + 21n = -20 + 4((6 + 6n) + -3n) Combine like terms: 6n + -3n = 3n 2 + 21n = -20 + 4(6 + 3n) 2 + 21n = -20 + (6 * 4 + 3n * 4) 2 + 21n = -20 + (24 + 12n) Combine like terms: -20 + 24 = 4 2 + 21n = 4 + 12n Solving 2 + 21n = 4 + 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. 2 + 21n + -12n = 4 + 12n + -12n Combine like terms: 21n + -12n = 9n 2 + 9n = 4 + 12n + -12n Combine like terms: 12n + -12n = 0 2 + 9n = 4 + 0 2 + 9n = 4 Add '-2' to each side of the equation. 2 + -2 + 9n = 4 + -2 Combine like terms: 2 + -2 = 0 0 + 9n = 4 + -2 9n = 4 + -2 Combine like terms: 4 + -2 = 2 9n = 2 Divide each side by '9'. n = 0.2222222222 Simplifying n = 0.2222222222
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