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Simplifying n = (k3 + 3k2 + -1k)(k3 + 3k2 + k) Reorder the terms: n = (-1k + 3k2 + k3)(k3 + 3k2 + k) Reorder the terms: n = (-1k + 3k2 + k3)(k + 3k2 + k3) Multiply (-1k + 3k2 + k3) * (k + 3k2 + k3) n = (-1k * (k + 3k2 + k3) + 3k2 * (k + 3k2 + k3) + k3(k + 3k2 + k3)) n = ((k * -1k + 3k2 * -1k + k3 * -1k) + 3k2 * (k + 3k2 + k3) + k3(k + 3k2 + k3)) n = ((-1k2 + -3k3 + -1k4) + 3k2 * (k + 3k2 + k3) + k3(k + 3k2 + k3)) n = (-1k2 + -3k3 + -1k4 + (k * 3k2 + 3k2 * 3k2 + k3 * 3k2) + k3(k + 3k2 + k3)) n = (-1k2 + -3k3 + -1k4 + (3k3 + 9k4 + 3k5) + k3(k + 3k2 + k3)) n = (-1k2 + -3k3 + -1k4 + 3k3 + 9k4 + 3k5 + (k * k3 + 3k2 * k3 + k3 * k3)) n = (-1k2 + -3k3 + -1k4 + 3k3 + 9k4 + 3k5 + (k4 + 3k5 + k6)) Reorder the terms: n = (-1k2 + -3k3 + 3k3 + -1k4 + 9k4 + k4 + 3k5 + 3k5 + k6) Combine like terms: -3k3 + 3k3 = 0 n = (-1k2 + 0 + -1k4 + 9k4 + k4 + 3k5 + 3k5 + k6) n = (-1k2 + -1k4 + 9k4 + k4 + 3k5 + 3k5 + k6) Combine like terms: -1k4 + 9k4 = 8k4 n = (-1k2 + 8k4 + k4 + 3k5 + 3k5 + k6) Combine like terms: 8k4 + k4 = 9k4 n = (-1k2 + 9k4 + 3k5 + 3k5 + k6) Combine like terms: 3k5 + 3k5 = 6k5 n = (-1k2 + 9k4 + 6k5 + k6) Solving n = -1k2 + 9k4 + 6k5 + k6 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Simplifying n = -1k2 + 9k4 + 6k5 + k6
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