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Simplifying -10 + 2[6(n + 1) + -3n] = 0 Reorder the terms: -10 + 2[6(1 + n) + -3n] = 0 -10 + 2[(1 * 6 + n * 6) + -3n] = 0 -10 + 2[(6 + 6n) + -3n] = 0 Combine like terms: 6n + -3n = 3n -10 + 2[6 + 3n] = 0 -10 + [6 * 2 + 3n * 2] = 0 -10 + [12 + 6n] = 0 Combine like terms: -10 + 12 = 2 2 + 6n = 0 Solving 2 + 6n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 6n = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 6n = 0 + -2 6n = 0 + -2 Combine like terms: 0 + -2 = -2 6n = -2 Divide each side by '6'. n = -0.3333333333 Simplifying n = -0.3333333333
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