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Simplifying 14(21x + 7w + -12x) * 3(15w + -6x) = 58w + -15 Reorder the terms: 14(7w + 21x + -12x) * 3(15w + -6x) = 58w + -15 Combine like terms: 21x + -12x = 9x 14(7w + 9x) * 3(15w + -6x) = 58w + -15 Reorder the terms for easier multiplication: 14 * 3(7w + 9x)(15w + -6x) = 58w + -15 Multiply 14 * 3 42(7w + 9x)(15w + -6x) = 58w + -15 Multiply (7w + 9x) * (15w + -6x) 42(7w * (15w + -6x) + 9x * (15w + -6x)) = 58w + -15 42((15w * 7w + -6x * 7w) + 9x * (15w + -6x)) = 58w + -15 Reorder the terms: 42((-42wx + 105w2) + 9x * (15w + -6x)) = 58w + -15 42((-42wx + 105w2) + 9x * (15w + -6x)) = 58w + -15 42(-42wx + 105w2 + (15w * 9x + -6x * 9x)) = 58w + -15 42(-42wx + 105w2 + (135wx + -54x2)) = 58w + -15 Reorder the terms: 42(-42wx + 135wx + 105w2 + -54x2) = 58w + -15 Combine like terms: -42wx + 135wx = 93wx 42(93wx + 105w2 + -54x2) = 58w + -15 (93wx * 42 + 105w2 * 42 + -54x2 * 42) = 58w + -15 (3906wx + 4410w2 + -2268x2) = 58w + -15 Reorder the terms: 3906wx + 4410w2 + -2268x2 = -15 + 58w Solving 3906wx + 4410w2 + -2268x2 = -15 + 58w Solving for variable 'w'. Reorder the terms: 15 + -58w + 3906wx + 4410w2 + -2268x2 = -15 + 58w + 15 + -58w Reorder the terms: 15 + -58w + 3906wx + 4410w2 + -2268x2 = -15 + 15 + 58w + -58w Combine like terms: -15 + 15 = 0 15 + -58w + 3906wx + 4410w2 + -2268x2 = 0 + 58w + -58w 15 + -58w + 3906wx + 4410w2 + -2268x2 = 58w + -58w Combine like terms: 58w + -58w = 0 15 + -58w + 3906wx + 4410w2 + -2268x2 = 0 The solution to this equation could not be determined.
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