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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 = 7n 7n = 2 + 15n + -15n Combine like terms: 15n + -15n = 0 7n = 2 + 0 7n = 2 Divide each side by '7'. n = 0.2857142857 Simplifying n = 0.2857142857
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