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Simplifying 4a + 3c + 2a + 6b = 0 Reorder the terms: 4a + 2a + 6b + 3c = 0 Combine like terms: 4a + 2a = 6a 6a + 6b + 3c = 0 Solving 6a + 6b + 3c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6b' to each side of the equation. 6a + 6b + -6b + 3c = 0 + -6b Combine like terms: 6b + -6b = 0 6a + 0 + 3c = 0 + -6b 6a + 3c = 0 + -6b Remove the zero: 6a + 3c = -6b Add '-3c' to each side of the equation. 6a + 3c + -3c = -6b + -3c Combine like terms: 3c + -3c = 0 6a + 0 = -6b + -3c 6a = -6b + -3c Divide each side by '6'. a = -1b + -0.5c Simplifying a = -1b + -0.5c
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