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Simplifying (4x + 7)(4 + -1w) = 0 Reorder the terms: (7 + 4x)(4 + -1w) = 0 Multiply (7 + 4x) * (4 + -1w) (7(4 + -1w) + 4x * (4 + -1w)) = 0 ((4 * 7 + -1w * 7) + 4x * (4 + -1w)) = 0 ((28 + -7w) + 4x * (4 + -1w)) = 0 (28 + -7w + (4 * 4x + -1w * 4x)) = 0 Reorder the terms: (28 + -7w + (-4wx + 16x)) = 0 (28 + -7w + (-4wx + 16x)) = 0 (28 + -7w + -4wx + 16x) = 0 Solving 28 + -7w + -4wx + 16x = 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 + -7w + -4wx + -28 + 16x = 0 + -28 Reorder the terms: 28 + -28 + -7w + -4wx + 16x = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -7w + -4wx + 16x = 0 + -28 -7w + -4wx + 16x = 0 + -28 Combine like terms: 0 + -28 = -28 -7w + -4wx + 16x = -28 Add '-16x' to each side of the equation. -7w + -4wx + 16x + -16x = -28 + -16x Combine like terms: 16x + -16x = 0 -7w + -4wx + 0 = -28 + -16x -7w + -4wx = -28 + -16x Reorder the terms: 28 + -7w + -4wx + 16x = -28 + -16x + 28 + 16x Reorder the terms: 28 + -7w + -4wx + 16x = -28 + 28 + -16x + 16x Combine like terms: -28 + 28 = 0 28 + -7w + -4wx + 16x = 0 + -16x + 16x 28 + -7w + -4wx + 16x = -16x + 16x Combine like terms: -16x + 16x = 0 28 + -7w + -4wx + 16x = 0 The solution to this equation could not be determined.
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