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Simplifying [9(n + 4) + -19] + -2[(n + -4) + 3] = 0 Reorder the terms: [9(4 + n) + -19] + -2[(n + -4) + 3] = 0 [(4 * 9 + n * 9) + -19] + -2[(n + -4) + 3] = 0 [(36 + 9n) + -19] + -2[(n + -4) + 3] = 0 Reorder the terms: [36 + -19 + 9n] + -2[(n + -4) + 3] = 0 Combine like terms: 36 + -19 = 17 [17 + 9n] + -2[(n + -4) + 3] = 0 Remove brackets around [17 + 9n] 17 + 9n + -2[(n + -4) + 3] = 0 Reorder the terms: 17 + 9n + -2[(-4 + n) + 3] = 0 Remove parenthesis around (-4 + n) 17 + 9n + -2[-4 + n + 3] = 0 Reorder the terms: 17 + 9n + -2[-4 + 3 + n] = 0 Combine like terms: -4 + 3 = -1 17 + 9n + -2[-1 + n] = 0 17 + 9n + [-1 * -2 + n * -2] = 0 17 + 9n + [2 + -2n] = 0 Reorder the terms: 17 + 2 + 9n + -2n = 0 Combine like terms: 17 + 2 = 19 19 + 9n + -2n = 0 Combine like terms: 9n + -2n = 7n 19 + 7n = 0 Solving 19 + 7n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 7n = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 7n = 0 + -19 7n = 0 + -19 Combine like terms: 0 + -19 = -19 7n = -19 Divide each side by '7'. n = -2.714285714 Simplifying n = -2.714285714
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