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Simplifying 3a + 2b(3c + 1) = 0 Reorder the terms: 3a + 2b(1 + 3c) = 0 3a + (1 * 2b + 3c * 2b) = 0 3a + (2b + 6bc) = 0 Solving 3a + 2b + 6bc = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2b' to each side of the equation. 3a + 2b + -2b + 6bc = 0 + -2b Combine like terms: 2b + -2b = 0 3a + 0 + 6bc = 0 + -2b 3a + 6bc = 0 + -2b Remove the zero: 3a + 6bc = -2b Add '-6bc' to each side of the equation. 3a + 6bc + -6bc = -2b + -6bc Combine like terms: 6bc + -6bc = 0 3a + 0 = -2b + -6bc 3a = -2b + -6bc Divide each side by '3'. a = -0.6666666667b + -2bc Simplifying a = -0.6666666667b + -2bc
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