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Simplifying b(8a + 7c) + -2d(8a + 7c) = 0 (8a * b + 7c * b) + -2d(8a + 7c) = 0 (8ab + 7bc) + -2d(8a + 7c) = 0 8ab + 7bc + (8a * -2d + 7c * -2d) = 0 8ab + 7bc + (-16ad + -14cd) = 0 Reorder the terms: 8ab + -16ad + 7bc + -14cd = 0 Solving 8ab + -16ad + 7bc + -14cd = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7bc' to each side of the equation. 8ab + -16ad + 7bc + -7bc + -14cd = 0 + -7bc Combine like terms: 7bc + -7bc = 0 8ab + -16ad + 0 + -14cd = 0 + -7bc 8ab + -16ad + -14cd = 0 + -7bc Remove the zero: 8ab + -16ad + -14cd = -7bc Add '14cd' to each side of the equation. 8ab + -16ad + -14cd + 14cd = -7bc + 14cd Combine like terms: -14cd + 14cd = 0 8ab + -16ad + 0 = -7bc + 14cd 8ab + -16ad = -7bc + 14cd Reorder the terms: 8ab + -16ad + 7bc + -14cd = -7bc + 7bc + 14cd + -14cd Combine like terms: -7bc + 7bc = 0 8ab + -16ad + 7bc + -14cd = 0 + 14cd + -14cd 8ab + -16ad + 7bc + -14cd = 14cd + -14cd Combine like terms: 14cd + -14cd = 0 8ab + -16ad + 7bc + -14cd = 0 The solution to this equation could not be determined.
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