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Simplifying 4a + 21bc + 12b + 7ac = 0 Reorder the terms: 4a + 7ac + 12b + 21bc = 0 Solving 4a + 7ac + 12b + 21bc = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12b' to each side of the equation. 4a + 7ac + 12b + -12b + 21bc = 0 + -12b Combine like terms: 12b + -12b = 0 4a + 7ac + 0 + 21bc = 0 + -12b 4a + 7ac + 21bc = 0 + -12b Remove the zero: 4a + 7ac + 21bc = -12b Add '-21bc' to each side of the equation. 4a + 7ac + 21bc + -21bc = -12b + -21bc Combine like terms: 21bc + -21bc = 0 4a + 7ac + 0 = -12b + -21bc 4a + 7ac = -12b + -21bc Reorder the terms: 4a + 7ac + 12b + 21bc = -12b + 12b + -21bc + 21bc Combine like terms: -12b + 12b = 0 4a + 7ac + 12b + 21bc = 0 + -21bc + 21bc 4a + 7ac + 12b + 21bc = -21bc + 21bc Combine like terms: -21bc + 21bc = 0 4a + 7ac + 12b + 21bc = 0 The solution to this equation could not be determined.
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