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Simplifying 84n + -28(n + 96) = -30(n + 81) Reorder the terms: 84n + -28(96 + n) = -30(n + 81) 84n + (96 * -28 + n * -28) = -30(n + 81) 84n + (-2688 + -28n) = -30(n + 81) Reorder the terms: -2688 + 84n + -28n = -30(n + 81) Combine like terms: 84n + -28n = 56n -2688 + 56n = -30(n + 81) Reorder the terms: -2688 + 56n = -30(81 + n) -2688 + 56n = (81 * -30 + n * -30) -2688 + 56n = (-2430 + -30n) Solving -2688 + 56n = -2430 + -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. -2688 + 56n + 30n = -2430 + -30n + 30n Combine like terms: 56n + 30n = 86n -2688 + 86n = -2430 + -30n + 30n Combine like terms: -30n + 30n = 0 -2688 + 86n = -2430 + 0 -2688 + 86n = -2430 Add '2688' to each side of the equation. -2688 + 2688 + 86n = -2430 + 2688 Combine like terms: -2688 + 2688 = 0 0 + 86n = -2430 + 2688 86n = -2430 + 2688 Combine like terms: -2430 + 2688 = 258 86n = 258 Divide each side by '86'. n = 3 Simplifying n = 3
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