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Simplifying 8(5 + 4n) + 11 = 5(3 + -7n) (5 * 8 + 4n * 8) + 11 = 5(3 + -7n) (40 + 32n) + 11 = 5(3 + -7n) Reorder the terms: 40 + 11 + 32n = 5(3 + -7n) Combine like terms: 40 + 11 = 51 51 + 32n = 5(3 + -7n) 51 + 32n = (3 * 5 + -7n * 5) 51 + 32n = (15 + -35n) Solving 51 + 32n = 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 + 32n + 35n = 15 + -35n + 35n Combine like terms: 32n + 35n = 67n 51 + 67n = 15 + -35n + 35n Combine like terms: -35n + 35n = 0 51 + 67n = 15 + 0 51 + 67n = 15 Add '-51' to each side of the equation. 51 + -51 + 67n = 15 + -51 Combine like terms: 51 + -51 = 0 0 + 67n = 15 + -51 67n = 15 + -51 Combine like terms: 15 + -51 = -36 67n = -36 Divide each side by '67'. n = -0.5373134328 Simplifying n = -0.5373134328
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