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Simplifying 5a + 9c + -2a + -14c = 0 Reorder the terms: 5a + -2a + 9c + -14c = 0 Combine like terms: 5a + -2a = 3a 3a + 9c + -14c = 0 Combine like terms: 9c + -14c = -5c 3a + -5c = 0 Solving 3a + -5c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5c' to each side of the equation. 3a + -5c + 5c = 0 + 5c Combine like terms: -5c + 5c = 0 3a + 0 = 0 + 5c 3a = 0 + 5c Remove the zero: 3a = 5c Divide each side by '3'. a = 1.666666667c Simplifying a = 1.666666667c
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