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Simplifying 5 = 18(n + -2) + 3(4n + 7) Reorder the terms: 5 = 18(-2 + n) + 3(4n + 7) 5 = (-2 * 18 + n * 18) + 3(4n + 7) 5 = (-36 + 18n) + 3(4n + 7) Reorder the terms: 5 = -36 + 18n + 3(7 + 4n) 5 = -36 + 18n + (7 * 3 + 4n * 3) 5 = -36 + 18n + (21 + 12n) Reorder the terms: 5 = -36 + 21 + 18n + 12n Combine like terms: -36 + 21 = -15 5 = -15 + 18n + 12n Combine like terms: 18n + 12n = 30n 5 = -15 + 30n Solving 5 = -15 + 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. 5 + -30n = -15 + 30n + -30n Combine like terms: 30n + -30n = 0 5 + -30n = -15 + 0 5 + -30n = -15 Add '-5' to each side of the equation. 5 + -5 + -30n = -15 + -5 Combine like terms: 5 + -5 = 0 0 + -30n = -15 + -5 -30n = -15 + -5 Combine like terms: -15 + -5 = -20 -30n = -20 Divide each side by '-30'. n = 0.6666666667 Simplifying n = 0.6666666667
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