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Simplifying 2a + 23b + -4c + 4a + -41b + -20c = 0 Reorder the terms: 2a + 4a + 23b + -41b + -4c + -20c = 0 Combine like terms: 2a + 4a = 6a 6a + 23b + -41b + -4c + -20c = 0 Combine like terms: 23b + -41b = -18b 6a + -18b + -4c + -20c = 0 Combine like terms: -4c + -20c = -24c 6a + -18b + -24c = 0 Solving 6a + -18b + -24c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '18b' to each side of the equation. 6a + -18b + 18b + -24c = 0 + 18b Combine like terms: -18b + 18b = 0 6a + 0 + -24c = 0 + 18b 6a + -24c = 0 + 18b Remove the zero: 6a + -24c = 18b Add '24c' to each side of the equation. 6a + -24c + 24c = 18b + 24c Combine like terms: -24c + 24c = 0 6a + 0 = 18b + 24c 6a = 18b + 24c Divide each side by '6'. a = 3b + 4c Simplifying a = 3b + 4c
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