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Simplifying (3x + -1)(7x + 6v + 4) = Y Reorder the terms: (-1 + 3x)(7x + 6v + 4) = Y Reorder the terms: (-1 + 3x)(4 + 6v + 7x) = Y Multiply (-1 + 3x) * (4 + 6v + 7x) (-1(4 + 6v + 7x) + 3x * (4 + 6v + 7x)) = Y ((4 * -1 + 6v * -1 + 7x * -1) + 3x * (4 + 6v + 7x)) = Y ((-4 + -6v + -7x) + 3x * (4 + 6v + 7x)) = Y (-4 + -6v + -7x + (4 * 3x + 6v * 3x + 7x * 3x)) = Y Reorder the terms: (-4 + -6v + -7x + (18vx + 12x + 21x2)) = Y (-4 + -6v + -7x + (18vx + 12x + 21x2)) = Y Reorder the terms: (-4 + -6v + 18vx + -7x + 12x + 21x2) = Y Combine like terms: -7x + 12x = 5x (-4 + -6v + 18vx + 5x + 21x2) = Y Solving -4 + -6v + 18vx + 5x + 21x2 = Y Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4' to each side of the equation. -4 + -6v + 18vx + 5x + 4 + 21x2 = 4 + Y Reorder the terms: -4 + 4 + -6v + 18vx + 5x + 21x2 = 4 + Y Combine like terms: -4 + 4 = 0 0 + -6v + 18vx + 5x + 21x2 = 4 + Y -6v + 18vx + 5x + 21x2 = 4 + Y Add '-5x' to each side of the equation. -6v + 18vx + 5x + -5x + 21x2 = 4 + Y + -5x Combine like terms: 5x + -5x = 0 -6v + 18vx + 0 + 21x2 = 4 + Y + -5x -6v + 18vx + 21x2 = 4 + Y + -5x Add '-21x2' to each side of the equation. -6v + 18vx + 21x2 + -21x2 = 4 + Y + -5x + -21x2 Combine like terms: 21x2 + -21x2 = 0 -6v + 18vx + 0 = 4 + Y + -5x + -21x2 -6v + 18vx = 4 + Y + -5x + -21x2 Reorder the terms: -4 + -1Y + -6v + 18vx + 5x + 21x2 = 4 + Y + -5x + -21x2 + -4 + -1Y + 5x + 21x2 Reorder the terms: -4 + -1Y + -6v + 18vx + 5x + 21x2 = 4 + -4 + Y + -1Y + -5x + 5x + -21x2 + 21x2 Combine like terms: 4 + -4 = 0 -4 + -1Y + -6v + 18vx + 5x + 21x2 = 0 + Y + -1Y + -5x + 5x + -21x2 + 21x2 -4 + -1Y + -6v + 18vx + 5x + 21x2 = Y + -1Y + -5x + 5x + -21x2 + 21x2 Combine like terms: Y + -1Y = 0 -4 + -1Y + -6v + 18vx + 5x + 21x2 = 0 + -5x + 5x + -21x2 + 21x2 -4 + -1Y + -6v + 18vx + 5x + 21x2 = -5x + 5x + -21x2 + 21x2 Combine like terms: -5x + 5x = 0 -4 + -1Y + -6v + 18vx + 5x + 21x2 = 0 + -21x2 + 21x2 -4 + -1Y + -6v + 18vx + 5x + 21x2 = -21x2 + 21x2 Combine like terms: -21x2 + 21x2 = 0 -4 + -1Y + -6v + 18vx + 5x + 21x2 = 0 The solution to this equation could not be determined.
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