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Simplifying 12a + 11b + 5c + 6c + -4b + -2a = 0 Reorder the terms: 12a + -2a + 11b + -4b + 5c + 6c = 0 Combine like terms: 12a + -2a = 10a 10a + 11b + -4b + 5c + 6c = 0 Combine like terms: 11b + -4b = 7b 10a + 7b + 5c + 6c = 0 Combine like terms: 5c + 6c = 11c 10a + 7b + 11c = 0 Solving 10a + 7b + 11c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7b' to each side of the equation. 10a + 7b + -7b + 11c = 0 + -7b Combine like terms: 7b + -7b = 0 10a + 0 + 11c = 0 + -7b 10a + 11c = 0 + -7b Remove the zero: 10a + 11c = -7b Add '-11c' to each side of the equation. 10a + 11c + -11c = -7b + -11c Combine like terms: 11c + -11c = 0 10a + 0 = -7b + -11c 10a = -7b + -11c Divide each side by '10'. a = -0.7b + -1.1c Simplifying a = -0.7b + -1.1c
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