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Simplifying 2a + 4b + 7c + 9b + 3a = 0 Reorder the terms: 2a + 3a + 4b + 9b + 7c = 0 Combine like terms: 2a + 3a = 5a 5a + 4b + 9b + 7c = 0 Combine like terms: 4b + 9b = 13b 5a + 13b + 7c = 0 Solving 5a + 13b + 7c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-13b' to each side of the equation. 5a + 13b + -13b + 7c = 0 + -13b Combine like terms: 13b + -13b = 0 5a + 0 + 7c = 0 + -13b 5a + 7c = 0 + -13b Remove the zero: 5a + 7c = -13b Add '-7c' to each side of the equation. 5a + 7c + -7c = -13b + -7c Combine like terms: 7c + -7c = 0 5a + 0 = -13b + -7c 5a = -13b + -7c Divide each side by '5'. a = -2.6b + -1.4c Simplifying a = -2.6b + -1.4c
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