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Simplifying [8(3a2b3 + -8a4b6c + -4) + -4(6a2b3 + -16a4b6c + 12a3bc5)] = 0 Reorder the terms: [8(-4 + 3a2b3 + -8a4b6c) + -4(6a2b3 + -16a4b6c + 12a3bc5)] = 0 [(-4 * 8 + 3a2b3 * 8 + -8a4b6c * 8) + -4(6a2b3 + -16a4b6c + 12a3bc5)] = 0 [(-32 + 24a2b3 + -64a4b6c) + -4(6a2b3 + -16a4b6c + 12a3bc5)] = 0 Reorder the terms: [-32 + 24a2b3 + -64a4b6c + -4(6a2b3 + 12a3bc5 + -16a4b6c)] = 0 [-32 + 24a2b3 + -64a4b6c + (6a2b3 * -4 + 12a3bc5 * -4 + -16a4b6c * -4)] = 0 [-32 + 24a2b3 + -64a4b6c + (-24a2b3 + -48a3bc5 + 64a4b6c)] = 0 Reorder the terms: [-32 + 24a2b3 + -24a2b3 + -48a3bc5 + -64a4b6c + 64a4b6c] = 0 Combine like terms: 24a2b3 + -24a2b3 = 0 [-32 + 0 + -48a3bc5 + -64a4b6c + 64a4b6c] = 0 [-32 + -48a3bc5 + -64a4b6c + 64a4b6c] = 0 Combine like terms: -64a4b6c + 64a4b6c = 0 [-32 + -48a3bc5 + 0] = 0 [-32 + -48a3bc5] = 0 Remove brackets around [-32 + -48a3bc5] -32 + -48a3bc5 = 0 Solving -32 + -48a3bc5 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + -48a3bc5 = 0 + 32 Combine like terms: -32 + 32 = 0 0 + -48a3bc5 = 0 + 32 -48a3bc5 = 0 + 32 Combine like terms: 0 + 32 = 32 -48a3bc5 = 32 Divide each side by '-48bc5'. a3 = -0.6666666667b-1c-5 Simplifying a3 = -0.6666666667b-1c-5 Combine like terms: -0.6666666667b-1c-5 + 0.6666666667b-1c-5 = 0.0000000000 a3 + 0.6666666667b-1c-5 = 0.0000000000 The solution to this equation could not be determined.
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