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Simplifying 5(n + 9) + 6 = 11n + -7 Reorder the terms: 5(9 + n) + 6 = 11n + -7 (9 * 5 + n * 5) + 6 = 11n + -7 (45 + 5n) + 6 = 11n + -7 Reorder the terms: 45 + 6 + 5n = 11n + -7 Combine like terms: 45 + 6 = 51 51 + 5n = 11n + -7 Reorder the terms: 51 + 5n = -7 + 11n Solving 51 + 5n = -7 + 11n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-11n' to each side of the equation. 51 + 5n + -11n = -7 + 11n + -11n Combine like terms: 5n + -11n = -6n 51 + -6n = -7 + 11n + -11n Combine like terms: 11n + -11n = 0 51 + -6n = -7 + 0 51 + -6n = -7 Add '-51' to each side of the equation. 51 + -51 + -6n = -7 + -51 Combine like terms: 51 + -51 = 0 0 + -6n = -7 + -51 -6n = -7 + -51 Combine like terms: -7 + -51 = -58 -6n = -58 Divide each side by '-6'. n = 9.666666667 Simplifying n = 9.666666667
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