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Simplifying 3a + 7b + 2c + -1a + -4b = 0 Reorder the terms: 3a + -1a + 7b + -4b + 2c = 0 Combine like terms: 3a + -1a = 2a 2a + 7b + -4b + 2c = 0 Combine like terms: 7b + -4b = 3b 2a + 3b + 2c = 0 Solving 2a + 3b + 2c = 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 + 2c = 0 + -3b Combine like terms: 3b + -3b = 0 2a + 0 + 2c = 0 + -3b 2a + 2c = 0 + -3b Remove the zero: 2a + 2c = -3b Add '-2c' to each side of the equation. 2a + 2c + -2c = -3b + -2c Combine like terms: 2c + -2c = 0 2a + 0 = -3b + -2c 2a = -3b + -2c Divide each side by '2'. a = -1.5b + -1c Simplifying a = -1.5b + -1c
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