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Simplifying v = (x + 4)(5x + -4)(2x + -1) Reorder the terms: v = (4 + x)(5x + -4)(2x + -1) Reorder the terms: v = (4 + x)(-4 + 5x)(2x + -1) Reorder the terms: v = (4 + x)(-4 + 5x)(-1 + 2x) Multiply (4 + x) * (-4 + 5x) v = (4(-4 + 5x) + x(-4 + 5x))(-1 + 2x) v = ((-4 * 4 + 5x * 4) + x(-4 + 5x))(-1 + 2x) v = ((-16 + 20x) + x(-4 + 5x))(-1 + 2x) v = (-16 + 20x + (-4 * x + 5x * x))(-1 + 2x) v = (-16 + 20x + (-4x + 5x2))(-1 + 2x) Combine like terms: 20x + -4x = 16x v = (-16 + 16x + 5x2)(-1 + 2x) Multiply (-16 + 16x + 5x2) * (-1 + 2x) v = (-16(-1 + 2x) + 16x * (-1 + 2x) + 5x2 * (-1 + 2x)) v = ((-1 * -16 + 2x * -16) + 16x * (-1 + 2x) + 5x2 * (-1 + 2x)) v = ((16 + -32x) + 16x * (-1 + 2x) + 5x2 * (-1 + 2x)) v = (16 + -32x + (-1 * 16x + 2x * 16x) + 5x2 * (-1 + 2x)) v = (16 + -32x + (-16x + 32x2) + 5x2 * (-1 + 2x)) v = (16 + -32x + -16x + 32x2 + (-1 * 5x2 + 2x * 5x2)) v = (16 + -32x + -16x + 32x2 + (-5x2 + 10x3)) Combine like terms: -32x + -16x = -48x v = (16 + -48x + 32x2 + -5x2 + 10x3) Combine like terms: 32x2 + -5x2 = 27x2 v = (16 + -48x + 27x2 + 10x3) Solving v = 16 + -48x + 27x2 + 10x3 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Simplifying v = 16 + -48x + 27x2 + 10x3
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