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Simplifying 2[7 + -7(1 + -1N)] + 6n = -16 + 3[6(n + 1) + -3n] 2[7 + (1 * -7 + -1N * -7)] + 6n = -16 + 3[6(n + 1) + -3n] 2[7 + (-7 + 7N)] + 6n = -16 + 3[6(n + 1) + -3n] Combine like terms: 7 + -7 = 0 2[0 + 7N] + 6n = -16 + 3[6(n + 1) + -3n] 2[7N] + 6n = -16 + 3[6(n + 1) + -3n] Remove brackets around [7N] 2 * 7N + 6n = -16 + 3[6(n + 1) + -3n] Multiply 2 * 7 14N + 6n = -16 + 3[6(n + 1) + -3n] Reorder the terms: 14N + 6n = -16 + 3[6(1 + n) + -3n] 14N + 6n = -16 + 3[(1 * 6 + n * 6) + -3n] 14N + 6n = -16 + 3[(6 + 6n) + -3n] Combine like terms: 6n + -3n = 3n 14N + 6n = -16 + 3[6 + 3n] 14N + 6n = -16 + [6 * 3 + 3n * 3] 14N + 6n = -16 + [18 + 9n] Combine like terms: -16 + 18 = 2 14N + 6n = 2 + 9n Solving 14N + 6n = 2 + 9n Solving for variable 'N'. Move all terms containing N to the left, all other terms to the right. Add '-6n' to each side of the equation. 14N + 6n + -6n = 2 + 9n + -6n Combine like terms: 6n + -6n = 0 14N + 0 = 2 + 9n + -6n 14N = 2 + 9n + -6n Combine like terms: 9n + -6n = 3n 14N = 2 + 3n Divide each side by '14'. N = 0.1428571429 + 0.2142857143n Simplifying N = 0.1428571429 + 0.2142857143n
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