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Simplifying (3x + 8)(5 + -1w) = 0 Reorder the terms: (8 + 3x)(5 + -1w) = 0 Multiply (8 + 3x) * (5 + -1w) (8(5 + -1w) + 3x * (5 + -1w)) = 0 ((5 * 8 + -1w * 8) + 3x * (5 + -1w)) = 0 ((40 + -8w) + 3x * (5 + -1w)) = 0 (40 + -8w + (5 * 3x + -1w * 3x)) = 0 Reorder the terms: (40 + -8w + (-3wx + 15x)) = 0 (40 + -8w + (-3wx + 15x)) = 0 (40 + -8w + -3wx + 15x) = 0 Solving 40 + -8w + -3wx + 15x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -8w + -3wx + -40 + 15x = 0 + -40 Reorder the terms: 40 + -40 + -8w + -3wx + 15x = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -8w + -3wx + 15x = 0 + -40 -8w + -3wx + 15x = 0 + -40 Combine like terms: 0 + -40 = -40 -8w + -3wx + 15x = -40 Add '-15x' to each side of the equation. -8w + -3wx + 15x + -15x = -40 + -15x Combine like terms: 15x + -15x = 0 -8w + -3wx + 0 = -40 + -15x -8w + -3wx = -40 + -15x Reorder the terms: 40 + -8w + -3wx + 15x = -40 + -15x + 40 + 15x Reorder the terms: 40 + -8w + -3wx + 15x = -40 + 40 + -15x + 15x Combine like terms: -40 + 40 = 0 40 + -8w + -3wx + 15x = 0 + -15x + 15x 40 + -8w + -3wx + 15x = -15x + 15x Combine like terms: -15x + 15x = 0 40 + -8w + -3wx + 15x = 0 The solution to this equation could not be determined.
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