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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 = -3n 51 + -3n = -15 + 35n + -35n Combine like terms: 35n + -35n = 0 51 + -3n = -15 + 0 51 + -3n = -15 Add '-51' to each side of the equation. 51 + -51 + -3n = -15 + -51 Combine like terms: 51 + -51 = 0 0 + -3n = -15 + -51 -3n = -15 + -51 Combine like terms: -15 + -51 = -66 -3n = -66 Divide each side by '-3'. n = 22 Simplifying n = 22
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