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Simplifying 14 + -1(12 + -12n) + 21n = -26 + 30(n + 1) 14 + (12 * -1 + -12n * -1) + 21n = -26 + 30(n + 1) 14 + (-12 + 12n) + 21n = -26 + 30(n + 1) Combine like terms: 14 + -12 = 2 2 + 12n + 21n = -26 + 30(n + 1) Combine like terms: 12n + 21n = 33n 2 + 33n = -26 + 30(n + 1) Reorder the terms: 2 + 33n = -26 + 30(1 + n) 2 + 33n = -26 + (1 * 30 + n * 30) 2 + 33n = -26 + (30 + 30n) Combine like terms: -26 + 30 = 4 2 + 33n = 4 + 30n Solving 2 + 33n = 4 + 30n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-30n' to each side of the equation. 2 + 33n + -30n = 4 + 30n + -30n Combine like terms: 33n + -30n = 3n 2 + 3n = 4 + 30n + -30n Combine like terms: 30n + -30n = 0 2 + 3n = 4 + 0 2 + 3n = 4 Add '-2' to each side of the equation. 2 + -2 + 3n = 4 + -2 Combine like terms: 2 + -2 = 0 0 + 3n = 4 + -2 3n = 4 + -2 Combine like terms: 4 + -2 = 2 3n = 2 Divide each side by '3'. n = 0.6666666667 Simplifying n = 0.6666666667
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