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Simplifying 11a + 12b + 3c + 5c + -2b + -6a = 0 Reorder the terms: 11a + -6a + 12b + -2b + 3c + 5c = 0 Combine like terms: 11a + -6a = 5a 5a + 12b + -2b + 3c + 5c = 0 Combine like terms: 12b + -2b = 10b 5a + 10b + 3c + 5c = 0 Combine like terms: 3c + 5c = 8c 5a + 10b + 8c = 0 Solving 5a + 10b + 8c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10b' to each side of the equation. 5a + 10b + -10b + 8c = 0 + -10b Combine like terms: 10b + -10b = 0 5a + 0 + 8c = 0 + -10b 5a + 8c = 0 + -10b Remove the zero: 5a + 8c = -10b Add '-8c' to each side of the equation. 5a + 8c + -8c = -10b + -8c Combine like terms: 8c + -8c = 0 5a + 0 = -10b + -8c 5a = -10b + -8c Divide each side by '5'. a = -2b + -1.6c Simplifying a = -2b + -1.6c
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