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Simplifying 3a2 + -1n + 4b2 = (3a + -2b)(a + -2b) Reorder the terms: 3a2 + 4b2 + -1n = (3a + -2b)(a + -2b) Multiply (3a + -2b) * (a + -2b) 3a2 + 4b2 + -1n = (3a * (a + -2b) + -2b * (a + -2b)) 3a2 + 4b2 + -1n = ((a * 3a + -2b * 3a) + -2b * (a + -2b)) Reorder the terms: 3a2 + 4b2 + -1n = ((-6ab + 3a2) + -2b * (a + -2b)) 3a2 + 4b2 + -1n = ((-6ab + 3a2) + -2b * (a + -2b)) 3a2 + 4b2 + -1n = (-6ab + 3a2 + (a * -2b + -2b * -2b)) 3a2 + 4b2 + -1n = (-6ab + 3a2 + (-2ab + 4b2)) Reorder the terms: 3a2 + 4b2 + -1n = (-6ab + -2ab + 3a2 + 4b2) Combine like terms: -6ab + -2ab = -8ab 3a2 + 4b2 + -1n = (-8ab + 3a2 + 4b2) Add '-3a2' to each side of the equation. 3a2 + 4b2 + -3a2 + -1n = -8ab + 3a2 + -3a2 + 4b2 Reorder the terms: 3a2 + -3a2 + 4b2 + -1n = -8ab + 3a2 + -3a2 + 4b2 Combine like terms: 3a2 + -3a2 = 0 0 + 4b2 + -1n = -8ab + 3a2 + -3a2 + 4b2 4b2 + -1n = -8ab + 3a2 + -3a2 + 4b2 Combine like terms: 3a2 + -3a2 = 0 4b2 + -1n = -8ab + 0 + 4b2 4b2 + -1n = -8ab + 4b2 Add '-4b2' to each side of the equation. 4b2 + -4b2 + -1n = -8ab + 4b2 + -4b2 Combine like terms: 4b2 + -4b2 = 0 0 + -1n = -8ab + 4b2 + -4b2 -1n = -8ab + 4b2 + -4b2 Combine like terms: 4b2 + -4b2 = 0 -1n = -8ab + 0 -1n = -8ab Solving -1n = -8ab Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Divide each side by '-1'. n = 8ab Simplifying n = 8ab
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