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Simplifying -8 + 2[6(n + 1) + -3n] = 0 Reorder the terms: -8 + 2[6(1 + n) + -3n] = 0 -8 + 2[(1 * 6 + n * 6) + -3n] = 0 -8 + 2[(6 + 6n) + -3n] = 0 Combine like terms: 6n + -3n = 3n -8 + 2[6 + 3n] = 0 -8 + [6 * 2 + 3n * 2] = 0 -8 + [12 + 6n] = 0 Combine like terms: -8 + 12 = 4 4 + 6n = 0 Solving 4 + 6n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 6n = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 6n = 0 + -4 6n = 0 + -4 Combine like terms: 0 + -4 = -4 6n = -4 Divide each side by '6'. n = -0.6666666667 Simplifying n = -0.6666666667
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