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Simplifying 10a + 14b + 3c + 2a = 0 Reorder the terms: 10a + 2a + 14b + 3c = 0 Combine like terms: 10a + 2a = 12a 12a + 14b + 3c = 0 Solving 12a + 14b + 3c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-14b' to each side of the equation. 12a + 14b + -14b + 3c = 0 + -14b Combine like terms: 14b + -14b = 0 12a + 0 + 3c = 0 + -14b 12a + 3c = 0 + -14b Remove the zero: 12a + 3c = -14b Add '-3c' to each side of the equation. 12a + 3c + -3c = -14b + -3c Combine like terms: 3c + -3c = 0 12a + 0 = -14b + -3c 12a = -14b + -3c Divide each side by '12'. a = -1.166666667b + -0.25c Simplifying a = -1.166666667b + -0.25c
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