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