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Simplifying v = (2x + 6)(4x + 3)(x + -4) Reorder the terms: v = (6 + 2x)(4x + 3)(x + -4) Reorder the terms: v = (6 + 2x)(3 + 4x)(x + -4) Reorder the terms: v = (6 + 2x)(3 + 4x)(-4 + x) Multiply (6 + 2x) * (3 + 4x) v = (6(3 + 4x) + 2x * (3 + 4x))(-4 + x) v = ((3 * 6 + 4x * 6) + 2x * (3 + 4x))(-4 + x) v = ((18 + 24x) + 2x * (3 + 4x))(-4 + x) v = (18 + 24x + (3 * 2x + 4x * 2x))(-4 + x) v = (18 + 24x + (6x + 8x2))(-4 + x) Combine like terms: 24x + 6x = 30x v = (18 + 30x + 8x2)(-4 + x) Multiply (18 + 30x + 8x2) * (-4 + x) v = (18(-4 + x) + 30x * (-4 + x) + 8x2 * (-4 + x)) v = ((-4 * 18 + x * 18) + 30x * (-4 + x) + 8x2 * (-4 + x)) v = ((-72 + 18x) + 30x * (-4 + x) + 8x2 * (-4 + x)) v = (-72 + 18x + (-4 * 30x + x * 30x) + 8x2 * (-4 + x)) v = (-72 + 18x + (-120x + 30x2) + 8x2 * (-4 + x)) v = (-72 + 18x + -120x + 30x2 + (-4 * 8x2 + x * 8x2)) v = (-72 + 18x + -120x + 30x2 + (-32x2 + 8x3)) Combine like terms: 18x + -120x = -102x v = (-72 + -102x + 30x2 + -32x2 + 8x3) Combine like terms: 30x2 + -32x2 = -2x2 v = (-72 + -102x + -2x2 + 8x3) Solving v = -72 + -102x + -2x2 + 8x3 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Simplifying v = -72 + -102x + -2x2 + 8x3
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