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Simplifying (2w + 3)(3v + 4) = 0 Reorder the terms: (3 + 2w)(3v + 4) = 0 Reorder the terms: (3 + 2w)(4 + 3v) = 0 Multiply (3 + 2w) * (4 + 3v) (3(4 + 3v) + 2w * (4 + 3v)) = 0 ((4 * 3 + 3v * 3) + 2w * (4 + 3v)) = 0 ((12 + 9v) + 2w * (4 + 3v)) = 0 (12 + 9v + (4 * 2w + 3v * 2w)) = 0 Reorder the terms: (12 + 9v + (6vw + 8w)) = 0 (12 + 9v + (6vw + 8w)) = 0 (12 + 9v + 6vw + 8w) = 0 Solving 12 + 9v + 6vw + 8w = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 9v + 6vw + -12 + 8w = 0 + -12 Reorder the terms: 12 + -12 + 9v + 6vw + 8w = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 9v + 6vw + 8w = 0 + -12 9v + 6vw + 8w = 0 + -12 Combine like terms: 0 + -12 = -12 9v + 6vw + 8w = -12 Add '-8w' to each side of the equation. 9v + 6vw + 8w + -8w = -12 + -8w Combine like terms: 8w + -8w = 0 9v + 6vw + 0 = -12 + -8w 9v + 6vw = -12 + -8w Reorder the terms: 12 + 9v + 6vw + 8w = -12 + -8w + 12 + 8w Reorder the terms: 12 + 9v + 6vw + 8w = -12 + 12 + -8w + 8w Combine like terms: -12 + 12 = 0 12 + 9v + 6vw + 8w = 0 + -8w + 8w 12 + 9v + 6vw + 8w = -8w + 8w Combine like terms: -8w + 8w = 0 12 + 9v + 6vw + 8w = 0 The solution to this equation could not be determined.
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