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Simplifying 9(n + 7) + -1(-3n + -2) = 11n Reorder the terms: 9(7 + n) + -1(-3n + -2) = 11n (7 * 9 + n * 9) + -1(-3n + -2) = 11n (63 + 9n) + -1(-3n + -2) = 11n Reorder the terms: 63 + 9n + -1(-2 + -3n) = 11n 63 + 9n + (-2 * -1 + -3n * -1) = 11n 63 + 9n + (2 + 3n) = 11n Reorder the terms: 63 + 2 + 9n + 3n = 11n Combine like terms: 63 + 2 = 65 65 + 9n + 3n = 11n Combine like terms: 9n + 3n = 12n 65 + 12n = 11n Solving 65 + 12n = 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. 65 + 12n + -11n = 11n + -11n Combine like terms: 12n + -11n = 1n 65 + 1n = 11n + -11n Combine like terms: 11n + -11n = 0 65 + 1n = 0 Add '-65' to each side of the equation. 65 + -65 + 1n = 0 + -65 Combine like terms: 65 + -65 = 0 0 + 1n = 0 + -65 1n = 0 + -65 Combine like terms: 0 + -65 = -65 1n = -65 Divide each side by '1'. n = -65 Simplifying n = -65
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