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Simplifying 3A + -1c + 2a + -3c = 0 Reorder the terms: 3A + 2a + -1c + -3c = 0 Combine like terms: -1c + -3c = -4c 3A + 2a + -4c = 0 Solving 3A + 2a + -4c = 0 Solving for variable 'A'. Move all terms containing A to the left, all other terms to the right. Add '-2a' to each side of the equation. 3A + 2a + -2a + -4c = 0 + -2a Combine like terms: 2a + -2a = 0 3A + 0 + -4c = 0 + -2a 3A + -4c = 0 + -2a Remove the zero: 3A + -4c = -2a Add '4c' to each side of the equation. 3A + -4c + 4c = -2a + 4c Combine like terms: -4c + 4c = 0 3A + 0 = -2a + 4c 3A = -2a + 4c Divide each side by '3'. A = -0.6666666667a + 1.333333333c Simplifying A = -0.6666666667a + 1.333333333c
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