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Simplifying 2[7 + -7(1 + -1n)] + 8n = -28 + -5[6(n + -1) + -3n] 2[7 + (1 * -7 + -1n * -7)] + 8n = -28 + -5[6(n + -1) + -3n] 2[7 + (-7 + 7n)] + 8n = -28 + -5[6(n + -1) + -3n] Combine like terms: 7 + -7 = 0 2[0 + 7n] + 8n = -28 + -5[6(n + -1) + -3n] 2[7n] + 8n = -28 + -5[6(n + -1) + -3n] Remove brackets around [7n] 2 * 7n + 8n = -28 + -5[6(n + -1) + -3n] Multiply 2 * 7 14n + 8n = -28 + -5[6(n + -1) + -3n] Combine like terms: 14n + 8n = 22n 22n = -28 + -5[6(n + -1) + -3n] Reorder the terms: 22n = -28 + -5[6(-1 + n) + -3n] 22n = -28 + -5[(-1 * 6 + n * 6) + -3n] 22n = -28 + -5[(-6 + 6n) + -3n] Combine like terms: 6n + -3n = 3n 22n = -28 + -5[-6 + 3n] 22n = -28 + [-6 * -5 + 3n * -5] 22n = -28 + [30 + -15n] Combine like terms: -28 + 30 = 2 22n = 2 + -15n Solving 22n = 2 + -15n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '15n' to each side of the equation. 22n + 15n = 2 + -15n + 15n Combine like terms: 22n + 15n = 37n 37n = 2 + -15n + 15n Combine like terms: -15n + 15n = 0 37n = 2 + 0 37n = 2 Divide each side by '37'. n = 0.05405405405 Simplifying n = 0.05405405405
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