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Simplifying [9(n + 4) + -18] + -1[2(n + -3) + 1] = 0 Reorder the terms: [9(4 + n) + -18] + -1[2(n + -3) + 1] = 0 [(4 * 9 + n * 9) + -18] + -1[2(n + -3) + 1] = 0 [(36 + 9n) + -18] + -1[2(n + -3) + 1] = 0 Reorder the terms: [36 + -18 + 9n] + -1[2(n + -3) + 1] = 0 Combine like terms: 36 + -18 = 18 [18 + 9n] + -1[2(n + -3) + 1] = 0 Remove brackets around [18 + 9n] 18 + 9n + -1[2(n + -3) + 1] = 0 Reorder the terms: 18 + 9n + -1[2(-3 + n) + 1] = 0 18 + 9n + -1[(-3 * 2 + n * 2) + 1] = 0 18 + 9n + -1[(-6 + 2n) + 1] = 0 Reorder the terms: 18 + 9n + -1[-6 + 1 + 2n] = 0 Combine like terms: -6 + 1 = -5 18 + 9n + -1[-5 + 2n] = 0 18 + 9n + [-5 * -1 + 2n * -1] = 0 18 + 9n + [5 + -2n] = 0 Reorder the terms: 18 + 5 + 9n + -2n = 0 Combine like terms: 18 + 5 = 23 23 + 9n + -2n = 0 Combine like terms: 9n + -2n = 7n 23 + 7n = 0 Solving 23 + 7n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 7n = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 7n = 0 + -23 7n = 0 + -23 Combine like terms: 0 + -23 = -23 7n = -23 Divide each side by '7'. n = -3.285714286 Simplifying n = -3.285714286
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