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Simplifying -9(n + -9) + -1(9n + -4) = 19n Reorder the terms: -9(-9 + n) + -1(9n + -4) = 19n (-9 * -9 + n * -9) + -1(9n + -4) = 19n (81 + -9n) + -1(9n + -4) = 19n Reorder the terms: 81 + -9n + -1(-4 + 9n) = 19n 81 + -9n + (-4 * -1 + 9n * -1) = 19n 81 + -9n + (4 + -9n) = 19n Reorder the terms: 81 + 4 + -9n + -9n = 19n Combine like terms: 81 + 4 = 85 85 + -9n + -9n = 19n Combine like terms: -9n + -9n = -18n 85 + -18n = 19n Solving 85 + -18n = 19n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-19n' to each side of the equation. 85 + -18n + -19n = 19n + -19n Combine like terms: -18n + -19n = -37n 85 + -37n = 19n + -19n Combine like terms: 19n + -19n = 0 85 + -37n = 0 Add '-85' to each side of the equation. 85 + -85 + -37n = 0 + -85 Combine like terms: 85 + -85 = 0 0 + -37n = 0 + -85 -37n = 0 + -85 Combine like terms: 0 + -85 = -85 -37n = -85 Divide each side by '-37'. n = 2.297297297 Simplifying n = 2.297297297
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