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Simplifying [7(n + 5) + -16] + [3(n + -3) + 4] = 0 Reorder the terms: [7(5 + n) + -16] + [3(n + -3) + 4] = 0 [(5 * 7 + n * 7) + -16] + [3(n + -3) + 4] = 0 [(35 + 7n) + -16] + [3(n + -3) + 4] = 0 Reorder the terms: [35 + -16 + 7n] + [3(n + -3) + 4] = 0 Combine like terms: 35 + -16 = 19 [19 + 7n] + [3(n + -3) + 4] = 0 Remove brackets around [19 + 7n] 19 + 7n + [3(n + -3) + 4] = 0 Reorder the terms: 19 + 7n + [3(-3 + n) + 4] = 0 19 + 7n + [(-3 * 3 + n * 3) + 4] = 0 19 + 7n + [(-9 + 3n) + 4] = 0 Reorder the terms: 19 + 7n + [-9 + 4 + 3n] = 0 Combine like terms: -9 + 4 = -5 19 + 7n + [-5 + 3n] = 0 Remove brackets around [-5 + 3n] 19 + 7n + -5 + 3n = 0 Reorder the terms: 19 + -5 + 7n + 3n = 0 Combine like terms: 19 + -5 = 14 14 + 7n + 3n = 0 Combine like terms: 7n + 3n = 10n 14 + 10n = 0 Solving 14 + 10n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 10n = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 10n = 0 + -14 10n = 0 + -14 Combine like terms: 0 + -14 = -14 10n = -14 Divide each side by '10'. n = -1.4 Simplifying n = -1.4
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