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Simplifying a3 + -1b3 = 6b2 + -12b + -8 Reorder the terms: a3 + -1b3 = -8 + -12b + 6b2 Solving a3 + -1b3 = -8 + -12b + 6b2 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'b3' to each side of the equation. a3 + -1b3 + b3 = -8 + -12b + 6b2 + b3 Combine like terms: -1b3 + b3 = 0 a3 + 0 = -8 + -12b + 6b2 + b3 a3 = -8 + -12b + 6b2 + b3 Simplifying a3 = -8 + -12b + 6b2 + b3 Reorder the terms: 8 + a3 + 12b + -6b2 + -1b3 = -8 + -12b + 6b2 + b3 + 8 + 12b + -6b2 + -1b3 Reorder the terms: 8 + a3 + 12b + -6b2 + -1b3 = -8 + 8 + -12b + 12b + 6b2 + -6b2 + b3 + -1b3 Combine like terms: -8 + 8 = 0 8 + a3 + 12b + -6b2 + -1b3 = 0 + -12b + 12b + 6b2 + -6b2 + b3 + -1b3 8 + a3 + 12b + -6b2 + -1b3 = -12b + 12b + 6b2 + -6b2 + b3 + -1b3 Combine like terms: -12b + 12b = 0 8 + a3 + 12b + -6b2 + -1b3 = 0 + 6b2 + -6b2 + b3 + -1b3 8 + a3 + 12b + -6b2 + -1b3 = 6b2 + -6b2 + b3 + -1b3 Combine like terms: 6b2 + -6b2 = 0 8 + a3 + 12b + -6b2 + -1b3 = 0 + b3 + -1b3 8 + a3 + 12b + -6b2 + -1b3 = b3 + -1b3 Combine like terms: b3 + -1b3 = 0 8 + a3 + 12b + -6b2 + -1b3 = 0 The solution to this equation could not be determined.
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