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Simplifying 11a + 14b + 2c + 2c + -2b + -6a = 0 Reorder the terms: 11a + -6a + 14b + -2b + 2c + 2c = 0 Combine like terms: 11a + -6a = 5a 5a + 14b + -2b + 2c + 2c = 0 Combine like terms: 14b + -2b = 12b 5a + 12b + 2c + 2c = 0 Combine like terms: 2c + 2c = 4c 5a + 12b + 4c = 0 Solving 5a + 12b + 4c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12b' to each side of the equation. 5a + 12b + -12b + 4c = 0 + -12b Combine like terms: 12b + -12b = 0 5a + 0 + 4c = 0 + -12b 5a + 4c = 0 + -12b Remove the zero: 5a + 4c = -12b Add '-4c' to each side of the equation. 5a + 4c + -4c = -12b + -4c Combine like terms: 4c + -4c = 0 5a + 0 = -12b + -4c 5a = -12b + -4c Divide each side by '5'. a = -2.4b + -0.8c Simplifying a = -2.4b + -0.8c
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