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Simplifying 3c + 4b + 2a + -1b + 6c = 0 Reorder the terms: 2a + 4b + -1b + 3c + 6c = 0 Combine like terms: 4b + -1b = 3b 2a + 3b + 3c + 6c = 0 Combine like terms: 3c + 6c = 9c 2a + 3b + 9c = 0 Solving 2a + 3b + 9c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3b' to each side of the equation. 2a + 3b + -3b + 9c = 0 + -3b Combine like terms: 3b + -3b = 0 2a + 0 + 9c = 0 + -3b 2a + 9c = 0 + -3b Remove the zero: 2a + 9c = -3b Add '-9c' to each side of the equation. 2a + 9c + -9c = -3b + -9c Combine like terms: 9c + -9c = 0 2a + 0 = -3b + -9c 2a = -3b + -9c Divide each side by '2'. a = -1.5b + -4.5c Simplifying a = -1.5b + -4.5c
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