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Simplifying 8(5 + 9n) + 11 = -5(3 + -7n) (5 * 8 + 9n * 8) + 11 = -5(3 + -7n) (40 + 72n) + 11 = -5(3 + -7n) Reorder the terms: 40 + 11 + 72n = -5(3 + -7n) Combine like terms: 40 + 11 = 51 51 + 72n = -5(3 + -7n) 51 + 72n = (3 * -5 + -7n * -5) 51 + 72n = (-15 + 35n) Solving 51 + 72n = -15 + 35n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-35n' to each side of the equation. 51 + 72n + -35n = -15 + 35n + -35n Combine like terms: 72n + -35n = 37n 51 + 37n = -15 + 35n + -35n Combine like terms: 35n + -35n = 0 51 + 37n = -15 + 0 51 + 37n = -15 Add '-51' to each side of the equation. 51 + -51 + 37n = -15 + -51 Combine like terms: 51 + -51 = 0 0 + 37n = -15 + -51 37n = -15 + -51 Combine like terms: -15 + -51 = -66 37n = -66 Divide each side by '37'. n = -1.783783784 Simplifying n = -1.783783784
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