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Simplifying (6a + -9c) + (2a + 4c) = 0 Remove parenthesis around (6a + -9c) 6a + -9c + (2a + 4c) = 0 Remove parenthesis around (2a + 4c) 6a + -9c + 2a + 4c = 0 Reorder the terms: 6a + 2a + -9c + 4c = 0 Combine like terms: 6a + 2a = 8a 8a + -9c + 4c = 0 Combine like terms: -9c + 4c = -5c 8a + -5c = 0 Solving 8a + -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. 8a + -5c + 5c = 0 + 5c Combine like terms: -5c + 5c = 0 8a + 0 = 0 + 5c 8a = 0 + 5c Remove the zero: 8a = 5c Divide each side by '8'. a = 0.625c Simplifying a = 0.625c
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