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Simplifying 3n + 8(4n + -1) + 12 = 0 Reorder the terms: 3n + 8(-1 + 4n) + 12 = 0 3n + (-1 * 8 + 4n * 8) + 12 = 0 3n + (-8 + 32n) + 12 = 0 Reorder the terms: -8 + 12 + 3n + 32n = 0 Combine like terms: -8 + 12 = 4 4 + 3n + 32n = 0 Combine like terms: 3n + 32n = 35n 4 + 35n = 0 Solving 4 + 35n = 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 + 35n = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 35n = 0 + -4 35n = 0 + -4 Combine like terms: 0 + -4 = -4 35n = -4 Divide each side by '35'. n = -0.1142857143 Simplifying n = -0.1142857143
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