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Simplifying 3c(2a + 7b) + 2a + 7b = 0 (2a * 3c + 7b * 3c) + 2a + 7b = 0 (6ac + 21bc) + 2a + 7b = 0 Reorder the terms: 2a + 6ac + 7b + 21bc = 0 Solving 2a + 6ac + 7b + 21bc = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7b' to each side of the equation. 2a + 6ac + 7b + -7b + 21bc = 0 + -7b Combine like terms: 7b + -7b = 0 2a + 6ac + 0 + 21bc = 0 + -7b 2a + 6ac + 21bc = 0 + -7b Remove the zero: 2a + 6ac + 21bc = -7b Add '-21bc' to each side of the equation. 2a + 6ac + 21bc + -21bc = -7b + -21bc Combine like terms: 21bc + -21bc = 0 2a + 6ac + 0 = -7b + -21bc 2a + 6ac = -7b + -21bc Reorder the terms: 2a + 6ac + 7b + 21bc = -7b + 7b + -21bc + 21bc Combine like terms: -7b + 7b = 0 2a + 6ac + 7b + 21bc = 0 + -21bc + 21bc 2a + 6ac + 7b + 21bc = -21bc + 21bc Combine like terms: -21bc + 21bc = 0 2a + 6ac + 7b + 21bc = 0 The solution to this equation could not be determined.
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