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Simplifying (3w + 4)(2x + -7) = 0 Reorder the terms: (4 + 3w)(2x + -7) = 0 Reorder the terms: (4 + 3w)(-7 + 2x) = 0 Multiply (4 + 3w) * (-7 + 2x) (4(-7 + 2x) + 3w * (-7 + 2x)) = 0 ((-7 * 4 + 2x * 4) + 3w * (-7 + 2x)) = 0 ((-28 + 8x) + 3w * (-7 + 2x)) = 0 (-28 + 8x + (-7 * 3w + 2x * 3w)) = 0 (-28 + 8x + (-21w + 6wx)) = 0 Reorder the terms: (-28 + -21w + 6wx + 8x) = 0 (-28 + -21w + 6wx + 8x) = 0 Solving -28 + -21w + 6wx + 8x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '28' to each side of the equation. -28 + -21w + 6wx + 28 + 8x = 0 + 28 Reorder the terms: -28 + 28 + -21w + 6wx + 8x = 0 + 28 Combine like terms: -28 + 28 = 0 0 + -21w + 6wx + 8x = 0 + 28 -21w + 6wx + 8x = 0 + 28 Combine like terms: 0 + 28 = 28 -21w + 6wx + 8x = 28 Add '-8x' to each side of the equation. -21w + 6wx + 8x + -8x = 28 + -8x Combine like terms: 8x + -8x = 0 -21w + 6wx + 0 = 28 + -8x -21w + 6wx = 28 + -8x Reorder the terms: -28 + -21w + 6wx + 8x = 28 + -8x + -28 + 8x Reorder the terms: -28 + -21w + 6wx + 8x = 28 + -28 + -8x + 8x Combine like terms: 28 + -28 = 0 -28 + -21w + 6wx + 8x = 0 + -8x + 8x -28 + -21w + 6wx + 8x = -8x + 8x Combine like terms: -8x + 8x = 0 -28 + -21w + 6wx + 8x = 0 The solution to this equation could not be determined.
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