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Simplifying 3a + 4b + -1c + -2a + b + 2c = 0 Reorder the terms: 3a + -2a + 4b + b + -1c + 2c = 0 Combine like terms: 3a + -2a = 1a 1a + 4b + b + -1c + 2c = 0 Combine like terms: 4b + b = 5b 1a + 5b + -1c + 2c = 0 Combine like terms: -1c + 2c = 1c 1a + 5b + 1c = 0 Solving 1a + 5b + 1c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5b' to each side of the equation. 1a + 5b + -5b + 1c = 0 + -5b Combine like terms: 5b + -5b = 0 1a + 0 + 1c = 0 + -5b 1a + 1c = 0 + -5b Remove the zero: 1a + 1c = -5b Add '-1c' to each side of the equation. 1a + 1c + -1c = -5b + -1c Combine like terms: 1c + -1c = 0 1a + 0 = -5b + -1c 1a = -5b + -1c Divide each side by '1'. a = -5b + -1c Simplifying a = -5b + -1c
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