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Simplifying 8n = (1 + -1x)(1 + -1x)(1 + -1x) Multiply (1 + -1x) * (1 + -1x) 8n = (1(1 + -1x) + -1x * (1 + -1x))(1 + -1x) 8n = ((1 * 1 + -1x * 1) + -1x * (1 + -1x))(1 + -1x) 8n = ((1 + -1x) + -1x * (1 + -1x))(1 + -1x) 8n = (1 + -1x + (1 * -1x + -1x * -1x))(1 + -1x) 8n = (1 + -1x + (-1x + 1x2))(1 + -1x) Combine like terms: -1x + -1x = -2x 8n = (1 + -2x + 1x2)(1 + -1x) Multiply (1 + -2x + 1x2) * (1 + -1x) 8n = (1(1 + -1x) + -2x * (1 + -1x) + 1x2 * (1 + -1x)) 8n = ((1 * 1 + -1x * 1) + -2x * (1 + -1x) + 1x2 * (1 + -1x)) 8n = ((1 + -1x) + -2x * (1 + -1x) + 1x2 * (1 + -1x)) 8n = (1 + -1x + (1 * -2x + -1x * -2x) + 1x2 * (1 + -1x)) 8n = (1 + -1x + (-2x + 2x2) + 1x2 * (1 + -1x)) 8n = (1 + -1x + -2x + 2x2 + (1 * 1x2 + -1x * 1x2)) 8n = (1 + -1x + -2x + 2x2 + (1x2 + -1x3)) Combine like terms: -1x + -2x = -3x 8n = (1 + -3x + 2x2 + 1x2 + -1x3) Combine like terms: 2x2 + 1x2 = 3x2 8n = (1 + -3x + 3x2 + -1x3) Solving 8n = 1 + -3x + 3x2 + -1x3 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Divide each side by '8'. n = 0.125 + -0.375x + 0.375x2 + -0.125x3 Simplifying n = 0.125 + -0.375x + 0.375x2 + -0.125x3
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