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Simplifying 6x[3n + (4n + -1)] = 8 Reorder the terms: 6x[3n + (-1 + 4n)] = 8 Remove parenthesis around (-1 + 4n) 6x[3n + -1 + 4n] = 8 Reorder the terms: 6x[-1 + 3n + 4n] = 8 Combine like terms: 3n + 4n = 7n 6x[-1 + 7n] = 8 [-1 * 6x + 7n * 6x] = 8 Reorder the terms: [42nx + -6x] = 8 [42nx + -6x] = 8 Solving 42nx + -6x = 8 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6x' to each side of the equation. 42nx + -6x + 6x = 8 + 6x Combine like terms: -6x + 6x = 0 42nx + 0 = 8 + 6x 42nx = 8 + 6x Divide each side by '42x'. n = 0.1904761905x-1 + 0.1428571429 Simplifying n = 0.1904761905x-1 + 0.1428571429 Reorder the terms: n = 0.1428571429 + 0.1904761905x-1
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