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Simplifying 7a + 6c + 9a + -16c = 0 Reorder the terms: 7a + 9a + 6c + -16c = 0 Combine like terms: 7a + 9a = 16a 16a + 6c + -16c = 0 Combine like terms: 6c + -16c = -10c 16a + -10c = 0 Solving 16a + -10c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '10c' to each side of the equation. 16a + -10c + 10c = 0 + 10c Combine like terms: -10c + 10c = 0 16a + 0 = 0 + 10c 16a = 0 + 10c Remove the zero: 16a = 10c Divide each side by '16'. a = 0.625c Simplifying a = 0.625c
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