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Simplifying a + 4c + -1(-3c) + 12a + -1a = 0 Remove parenthesis around (-3c) a + 4c + -1 * -3c + 12a + -1a = 0 Multiply -1 * -3 a + 4c + 3c + 12a + -1a = 0 Reorder the terms: a + 12a + -1a + 4c + 3c = 0 Combine like terms: a + 12a = 13a 13a + -1a + 4c + 3c = 0 Combine like terms: 13a + -1a = 12a 12a + 4c + 3c = 0 Combine like terms: 4c + 3c = 7c 12a + 7c = 0 Solving 12a + 7c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7c' to each side of the equation. 12a + 7c + -7c = 0 + -7c Combine like terms: 7c + -7c = 0 12a + 0 = 0 + -7c 12a = 0 + -7c Remove the zero: 12a = -7c Divide each side by '12'. a = -0.5833333333c Simplifying a = -0.5833333333c
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