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Simplifying (2x + 3)(6 + w) = 0 Reorder the terms: (3 + 2x)(6 + w) = 0 Multiply (3 + 2x) * (6 + w) (3(6 + w) + 2x * (6 + w)) = 0 ((6 * 3 + w * 3) + 2x * (6 + w)) = 0 ((18 + 3w) + 2x * (6 + w)) = 0 (18 + 3w + (6 * 2x + w * 2x)) = 0 Reorder the terms: (18 + 3w + (2wx + 12x)) = 0 (18 + 3w + (2wx + 12x)) = 0 (18 + 3w + 2wx + 12x) = 0 Solving 18 + 3w + 2wx + 12x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + 3w + 2wx + -18 + 12x = 0 + -18 Reorder the terms: 18 + -18 + 3w + 2wx + 12x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 3w + 2wx + 12x = 0 + -18 3w + 2wx + 12x = 0 + -18 Combine like terms: 0 + -18 = -18 3w + 2wx + 12x = -18 Add '-12x' to each side of the equation. 3w + 2wx + 12x + -12x = -18 + -12x Combine like terms: 12x + -12x = 0 3w + 2wx + 0 = -18 + -12x 3w + 2wx = -18 + -12x Reorder the terms: 18 + 3w + 2wx + 12x = -18 + -12x + 18 + 12x Reorder the terms: 18 + 3w + 2wx + 12x = -18 + 18 + -12x + 12x Combine like terms: -18 + 18 = 0 18 + 3w + 2wx + 12x = 0 + -12x + 12x 18 + 3w + 2wx + 12x = -12x + 12x Combine like terms: -12x + 12x = 0 18 + 3w + 2wx + 12x = 0 The solution to this equation could not be determined.
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