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Simplifying 4(4n + -1) + -1(2n + -1) = n + -4 + 1 + -8n Reorder the terms: 4(-1 + 4n) + -1(2n + -1) = n + -4 + 1 + -8n (-1 * 4 + 4n * 4) + -1(2n + -1) = n + -4 + 1 + -8n (-4 + 16n) + -1(2n + -1) = n + -4 + 1 + -8n Reorder the terms: -4 + 16n + -1(-1 + 2n) = n + -4 + 1 + -8n -4 + 16n + (-1 * -1 + 2n * -1) = n + -4 + 1 + -8n -4 + 16n + (1 + -2n) = n + -4 + 1 + -8n Reorder the terms: -4 + 1 + 16n + -2n = n + -4 + 1 + -8n Combine like terms: -4 + 1 = -3 -3 + 16n + -2n = n + -4 + 1 + -8n Combine like terms: 16n + -2n = 14n -3 + 14n = n + -4 + 1 + -8n Reorder the terms: -3 + 14n = -4 + 1 + n + -8n Combine like terms: -4 + 1 = -3 -3 + 14n = -3 + n + -8n Combine like terms: n + -8n = -7n -3 + 14n = -3 + -7n Add '3' to each side of the equation. -3 + 3 + 14n = -3 + 3 + -7n Combine like terms: -3 + 3 = 0 0 + 14n = -3 + 3 + -7n 14n = -3 + 3 + -7n Combine like terms: -3 + 3 = 0 14n = 0 + -7n 14n = -7n Solving 14n = -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. 14n + 7n = -7n + 7n Combine like terms: 14n + 7n = 21n 21n = -7n + 7n Combine like terms: -7n + 7n = 0 21n = 0 Divide each side by '21'. n = 0 Simplifying n = 0
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