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Simplifying 12a + 14b + 4c + 3c + -3b + -2a = 0 Reorder the terms: 12a + -2a + 14b + -3b + 4c + 3c = 0 Combine like terms: 12a + -2a = 10a 10a + 14b + -3b + 4c + 3c = 0 Combine like terms: 14b + -3b = 11b 10a + 11b + 4c + 3c = 0 Combine like terms: 4c + 3c = 7c 10a + 11b + 7c = 0 Solving 10a + 11b + 7c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-11b' to each side of the equation. 10a + 11b + -11b + 7c = 0 + -11b Combine like terms: 11b + -11b = 0 10a + 0 + 7c = 0 + -11b 10a + 7c = 0 + -11b Remove the zero: 10a + 7c = -11b Add '-7c' to each side of the equation. 10a + 7c + -7c = -11b + -7c Combine like terms: 7c + -7c = 0 10a + 0 = -11b + -7c 10a = -11b + -7c Divide each side by '10'. a = -1.1b + -0.7c Simplifying a = -1.1b + -0.7c
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