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Simplifying 12a + 11b + 2c + 4c + -5b + -2a = 0 Reorder the terms: 12a + -2a + 11b + -5b + 2c + 4c = 0 Combine like terms: 12a + -2a = 10a 10a + 11b + -5b + 2c + 4c = 0 Combine like terms: 11b + -5b = 6b 10a + 6b + 2c + 4c = 0 Combine like terms: 2c + 4c = 6c 10a + 6b + 6c = 0 Solving 10a + 6b + 6c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6b' to each side of the equation. 10a + 6b + -6b + 6c = 0 + -6b Combine like terms: 6b + -6b = 0 10a + 0 + 6c = 0 + -6b 10a + 6c = 0 + -6b Remove the zero: 10a + 6c = -6b Add '-6c' to each side of the equation. 10a + 6c + -6c = -6b + -6c Combine like terms: 6c + -6c = 0 10a + 0 = -6b + -6c 10a = -6b + -6c Divide each side by '10'. a = -0.6b + -0.6c Simplifying a = -0.6b + -0.6c
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