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Simplifying V = 6(8x + 2)(5x + -4) + -10(5x + -4) Reorder the terms: V = 6(2 + 8x)(5x + -4) + -10(5x + -4) Reorder the terms: V = 6(2 + 8x)(-4 + 5x) + -10(5x + -4) Multiply (2 + 8x) * (-4 + 5x) V = 6(2(-4 + 5x) + 8x * (-4 + 5x)) + -10(5x + -4) V = 6((-4 * 2 + 5x * 2) + 8x * (-4 + 5x)) + -10(5x + -4) V = 6((-8 + 10x) + 8x * (-4 + 5x)) + -10(5x + -4) V = 6(-8 + 10x + (-4 * 8x + 5x * 8x)) + -10(5x + -4) V = 6(-8 + 10x + (-32x + 40x2)) + -10(5x + -4) Combine like terms: 10x + -32x = -22x V = 6(-8 + -22x + 40x2) + -10(5x + -4) V = (-8 * 6 + -22x * 6 + 40x2 * 6) + -10(5x + -4) V = (-48 + -132x + 240x2) + -10(5x + -4) Reorder the terms: V = -48 + -132x + 240x2 + -10(-4 + 5x) V = -48 + -132x + 240x2 + (-4 * -10 + 5x * -10) V = -48 + -132x + 240x2 + (40 + -50x) Reorder the terms: V = -48 + 40 + -132x + -50x + 240x2 Combine like terms: -48 + 40 = -8 V = -8 + -132x + -50x + 240x2 Combine like terms: -132x + -50x = -182x V = -8 + -182x + 240x2 Solving V = -8 + -182x + 240x2 Solving for variable 'V'. Move all terms containing V to the left, all other terms to the right. Simplifying V = -8 + -182x + 240x2
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