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Simplifying (2 + -1n)(4 + -1n) + -1n2 = 5(1 + -1n) Multiply (2 + -1n) * (4 + -1n) (2(4 + -1n) + -1n * (4 + -1n)) + -1n2 = 5(1 + -1n) ((4 * 2 + -1n * 2) + -1n * (4 + -1n)) + -1n2 = 5(1 + -1n) ((8 + -2n) + -1n * (4 + -1n)) + -1n2 = 5(1 + -1n) (8 + -2n + (4 * -1n + -1n * -1n)) + -1n2 = 5(1 + -1n) (8 + -2n + (-4n + 1n2)) + -1n2 = 5(1 + -1n) Combine like terms: -2n + -4n = -6n (8 + -6n + 1n2) + -1n2 = 5(1 + -1n) Combine like terms: 1n2 + -1n2 = 0 8 + -6n + 0 = 5(1 + -1n) 8 + -6n = 5(1 + -1n) 8 + -6n = (1 * 5 + -1n * 5) 8 + -6n = (5 + -5n) Solving 8 + -6n = 5 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. 8 + -6n + 5n = 5 + -5n + 5n Combine like terms: -6n + 5n = -1n 8 + -1n = 5 + -5n + 5n Combine like terms: -5n + 5n = 0 8 + -1n = 5 + 0 8 + -1n = 5 Add '-8' to each side of the equation. 8 + -8 + -1n = 5 + -8 Combine like terms: 8 + -8 = 0 0 + -1n = 5 + -8 -1n = 5 + -8 Combine like terms: 5 + -8 = -3 -1n = -3 Divide each side by '-1'. n = 3 Simplifying n = 3
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