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Simplifying [7(n + 5) + -18] + [3(n + -2) + 2] = 0 Reorder the terms: [7(5 + n) + -18] + [3(n + -2) + 2] = 0 [(5 * 7 + n * 7) + -18] + [3(n + -2) + 2] = 0 [(35 + 7n) + -18] + [3(n + -2) + 2] = 0 Reorder the terms: [35 + -18 + 7n] + [3(n + -2) + 2] = 0 Combine like terms: 35 + -18 = 17 [17 + 7n] + [3(n + -2) + 2] = 0 Remove brackets around [17 + 7n] 17 + 7n + [3(n + -2) + 2] = 0 Reorder the terms: 17 + 7n + [3(-2 + n) + 2] = 0 17 + 7n + [(-2 * 3 + n * 3) + 2] = 0 17 + 7n + [(-6 + 3n) + 2] = 0 Reorder the terms: 17 + 7n + [-6 + 2 + 3n] = 0 Combine like terms: -6 + 2 = -4 17 + 7n + [-4 + 3n] = 0 Remove brackets around [-4 + 3n] 17 + 7n + -4 + 3n = 0 Reorder the terms: 17 + -4 + 7n + 3n = 0 Combine like terms: 17 + -4 = 13 13 + 7n + 3n = 0 Combine like terms: 7n + 3n = 10n 13 + 10n = 0 Solving 13 + 10n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 10n = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 10n = 0 + -13 10n = 0 + -13 Combine like terms: 0 + -13 = -13 10n = -13 Divide each side by '10'. n = -1.3 Simplifying n = -1.3
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