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Simplifying a = (x + 8)(4x + -1) + -1(2x)(x + 4) Reorder the terms: a = (8 + x)(4x + -1) + -1(2x)(x + 4) Reorder the terms: a = (8 + x)(-1 + 4x) + -1(2x)(x + 4) Multiply (8 + x) * (-1 + 4x) a = (8(-1 + 4x) + x(-1 + 4x)) + -1(2x)(x + 4) a = ((-1 * 8 + 4x * 8) + x(-1 + 4x)) + -1(2x)(x + 4) a = ((-8 + 32x) + x(-1 + 4x)) + -1(2x)(x + 4) a = (-8 + 32x + (-1 * x + 4x * x)) + -1(2x)(x + 4) a = (-8 + 32x + (-1x + 4x2)) + -1(2x)(x + 4) Combine like terms: 32x + -1x = 31x a = (-8 + 31x + 4x2) + -1(2x)(x + 4) Remove parenthesis around (2x) a = -8 + 31x + 4x2 + -1 * 2x(x + 4) Reorder the terms: a = -8 + 31x + 4x2 + -1 * 2x(4 + x) Multiply -1 * 2 a = -8 + 31x + 4x2 + -2x(4 + x) a = -8 + 31x + 4x2 + (4 * -2x + x * -2x) a = -8 + 31x + 4x2 + (-8x + -2x2) Reorder the terms: a = -8 + 31x + -8x + 4x2 + -2x2 Combine like terms: 31x + -8x = 23x a = -8 + 23x + 4x2 + -2x2 Combine like terms: 4x2 + -2x2 = 2x2 a = -8 + 23x + 2x2 Solving a = -8 + 23x + 2x2 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Simplifying a = -8 + 23x + 2x2
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