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Simplifying 9(n + 5) + -16 + 2(n + -3) + 2 = 0 Reorder the terms: 9(5 + n) + -16 + 2(n + -3) + 2 = 0 (5 * 9 + n * 9) + -16 + 2(n + -3) + 2 = 0 (45 + 9n) + -16 + 2(n + -3) + 2 = 0 Reorder the terms: 45 + 9n + -16 + 2(-3 + n) + 2 = 0 45 + 9n + -16 + (-3 * 2 + n * 2) + 2 = 0 45 + 9n + -16 + (-6 + 2n) + 2 = 0 Reorder the terms: 45 + -16 + -6 + 2 + 9n + 2n = 0 Combine like terms: 45 + -16 = 29 29 + -6 + 2 + 9n + 2n = 0 Combine like terms: 29 + -6 = 23 23 + 2 + 9n + 2n = 0 Combine like terms: 23 + 2 = 25 25 + 9n + 2n = 0 Combine like terms: 9n + 2n = 11n 25 + 11n = 0 Solving 25 + 11n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 11n = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 11n = 0 + -25 11n = 0 + -25 Combine like terms: 0 + -25 = -25 11n = -25 Divide each side by '11'. n = -2.272727273 Simplifying n = -2.272727273
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