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Simplifying [9(n + 4) + -15] + -1[2(n + -3) + 2] = 0 Reorder the terms: [9(4 + n) + -15] + -1[2(n + -3) + 2] = 0 [(4 * 9 + n * 9) + -15] + -1[2(n + -3) + 2] = 0 [(36 + 9n) + -15] + -1[2(n + -3) + 2] = 0 Reorder the terms: [36 + -15 + 9n] + -1[2(n + -3) + 2] = 0 Combine like terms: 36 + -15 = 21 [21 + 9n] + -1[2(n + -3) + 2] = 0 Remove brackets around [21 + 9n] 21 + 9n + -1[2(n + -3) + 2] = 0 Reorder the terms: 21 + 9n + -1[2(-3 + n) + 2] = 0 21 + 9n + -1[(-3 * 2 + n * 2) + 2] = 0 21 + 9n + -1[(-6 + 2n) + 2] = 0 Reorder the terms: 21 + 9n + -1[-6 + 2 + 2n] = 0 Combine like terms: -6 + 2 = -4 21 + 9n + -1[-4 + 2n] = 0 21 + 9n + [-4 * -1 + 2n * -1] = 0 21 + 9n + [4 + -2n] = 0 Reorder the terms: 21 + 4 + 9n + -2n = 0 Combine like terms: 21 + 4 = 25 25 + 9n + -2n = 0 Combine like terms: 9n + -2n = 7n 25 + 7n = 0 Solving 25 + 7n = 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 + 7n = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 7n = 0 + -25 7n = 0 + -25 Combine like terms: 0 + -25 = -25 7n = -25 Divide each side by '7'. n = -3.571428571 Simplifying n = -3.571428571
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