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Simplifying 4a + -3b + 2c + -2a + -3b + 4c = 0 Reorder the terms: 4a + -2a + -3b + -3b + 2c + 4c = 0 Combine like terms: 4a + -2a = 2a 2a + -3b + -3b + 2c + 4c = 0 Combine like terms: -3b + -3b = -6b 2a + -6b + 2c + 4c = 0 Combine like terms: 2c + 4c = 6c 2a + -6b + 6c = 0 Solving 2a + -6b + 6c = 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. 2a + -6b + 6b + 6c = 0 + 6b Combine like terms: -6b + 6b = 0 2a + 0 + 6c = 0 + 6b 2a + 6c = 0 + 6b Remove the zero: 2a + 6c = 6b Add '-6c' to each side of the equation. 2a + 6c + -6c = 6b + -6c Combine like terms: 6c + -6c = 0 2a + 0 = 6b + -6c 2a = 6b + -6c Divide each side by '2'. a = 3b + -3c Simplifying a = 3b + -3c
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