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Simplifying 2[7 + -7(1 + -1n)] + 6n = -16n + 3[6(n + 1) + -3n] 2[7 + (1 * -7 + -1n * -7)] + 6n = -16n + 3[6(n + 1) + -3n] 2[7 + (-7 + 7n)] + 6n = -16n + 3[6(n + 1) + -3n] Combine like terms: 7 + -7 = 0 2[0 + 7n] + 6n = -16n + 3[6(n + 1) + -3n] 2[7n] + 6n = -16n + 3[6(n + 1) + -3n] Remove brackets around [7n] 2 * 7n + 6n = -16n + 3[6(n + 1) + -3n] Multiply 2 * 7 14n + 6n = -16n + 3[6(n + 1) + -3n] Combine like terms: 14n + 6n = 20n 20n = -16n + 3[6(n + 1) + -3n] Reorder the terms: 20n = -16n + 3[6(1 + n) + -3n] 20n = -16n + 3[(1 * 6 + n * 6) + -3n] 20n = -16n + 3[(6 + 6n) + -3n] Combine like terms: 6n + -3n = 3n 20n = -16n + 3[6 + 3n] 20n = -16n + [6 * 3 + 3n * 3] 20n = -16n + [18 + 9n] Reorder the terms: 20n = 18 + -16n + 9n Combine like terms: -16n + 9n = -7n 20n = 18 + -7n Solving 20n = 18 + -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. 20n + 7n = 18 + -7n + 7n Combine like terms: 20n + 7n = 27n 27n = 18 + -7n + 7n Combine like terms: -7n + 7n = 0 27n = 18 + 0 27n = 18 Divide each side by '27'. n = 0.6666666667 Simplifying n = 0.6666666667
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