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Simplifying b + 2a + 3c = 0 Reorder the terms: 2a + b + 3c = 0 Solving 2a + b + 3c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. 2a + b + -1b + 3c = 0 + -1b Combine like terms: b + -1b = 0 2a + 0 + 3c = 0 + -1b 2a + 3c = 0 + -1b Remove the zero: 2a + 3c = -1b Add '-3c' to each side of the equation. 2a + 3c + -3c = -1b + -3c Combine like terms: 3c + -3c = 0 2a + 0 = -1b + -3c 2a = -1b + -3c Divide each side by '2'. a = -0.5b + -1.5c Simplifying a = -0.5b + -1.5c
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