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Simplifying -1[b(a + -1c) + -1(-1b(c + -1a))] = 0 -1[(a * b + -1c * b) + -1(-1b(c + -1a))] = 0 -1[(ab + -1bc) + -1(-1b(c + -1a))] = 0 Reorder the terms: -1[ab + -1bc + -1(-1b(-1a + c))] = 0 -1[ab + -1bc + -1((-1a * -1b + c * -1b))] = 0 -1[ab + -1bc + -1((1ab + -1bc))] = 0 -1[ab + -1bc + (1ab * -1 + -1bc * -1)] = 0 -1[ab + -1bc + (-1ab + 1bc)] = 0 Reorder the terms: -1[ab + -1ab + -1bc + 1bc] = 0 Combine like terms: ab + -1ab = 0 -1[0 + -1bc + 1bc] = 0 -1[-1bc + 1bc] = 0 Combine like terms: -1bc + 1bc = 0 -1[0] = 0 Multiply -1 * 0 0 = 0 Anything times zero is zero. 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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