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Simplifying 7a + -6c + c + 9a = 0 Reorder the terms: 7a + 9a + -6c + c = 0 Combine like terms: 7a + 9a = 16a 16a + -6c + c = 0 Combine like terms: -6c + c = -5c 16a + -5c = 0 Solving 16a + -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. 16a + -5c + 5c = 0 + 5c Combine like terms: -5c + 5c = 0 16a + 0 = 0 + 5c 16a = 0 + 5c Remove the zero: 16a = 5c Divide each side by '16'. a = 0.3125c Simplifying a = 0.3125c
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