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Simplifying 14 + -1(12 + -12n) + 21n = -20 + 24(n + 1) 14 + (12 * -1 + -12n * -1) + 21n = -20 + 24(n + 1) 14 + (-12 + 12n) + 21n = -20 + 24(n + 1) Combine like terms: 14 + -12 = 2 2 + 12n + 21n = -20 + 24(n + 1) Combine like terms: 12n + 21n = 33n 2 + 33n = -20 + 24(n + 1) Reorder the terms: 2 + 33n = -20 + 24(1 + n) 2 + 33n = -20 + (1 * 24 + n * 24) 2 + 33n = -20 + (24 + 24n) Combine like terms: -20 + 24 = 4 2 + 33n = 4 + 24n Solving 2 + 33n = 4 + 24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-24n' to each side of the equation. 2 + 33n + -24n = 4 + 24n + -24n Combine like terms: 33n + -24n = 9n 2 + 9n = 4 + 24n + -24n Combine like terms: 24n + -24n = 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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