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Simplifying 2[7 + -7(1 + -1n)] + 2n = -16 + 3[6(n + 1) + -3n] 2[7 + (1 * -7 + -1n * -7)] + 2n = -16 + 3[6(n + 1) + -3n] 2[7 + (-7 + 7n)] + 2n = -16 + 3[6(n + 1) + -3n] Combine like terms: 7 + -7 = 0 2[0 + 7n] + 2n = -16 + 3[6(n + 1) + -3n] 2[7n] + 2n = -16 + 3[6(n + 1) + -3n] Remove brackets around [7n] 2 * 7n + 2n = -16 + 3[6(n + 1) + -3n] Multiply 2 * 7 14n + 2n = -16 + 3[6(n + 1) + -3n] Combine like terms: 14n + 2n = 16n 16n = -16 + 3[6(n + 1) + -3n] Reorder the terms: 16n = -16 + 3[6(1 + n) + -3n] 16n = -16 + 3[(1 * 6 + n * 6) + -3n] 16n = -16 + 3[(6 + 6n) + -3n] Combine like terms: 6n + -3n = 3n 16n = -16 + 3[6 + 3n] 16n = -16 + [6 * 3 + 3n * 3] 16n = -16 + [18 + 9n] Combine like terms: -16 + 18 = 2 16n = 2 + 9n Solving 16n = 2 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. 16n + -9n = 2 + 9n + -9n Combine like terms: 16n + -9n = 7n 7n = 2 + 9n + -9n Combine like terms: 9n + -9n = 0 7n = 2 + 0 7n = 2 Divide each side by '7'. n = 0.2857142857 Simplifying n = 0.2857142857
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