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Simplifying (3a + -2c) + (4a + -8c) = 0 Remove parenthesis around (3a + -2c) 3a + -2c + (4a + -8c) = 0 Remove parenthesis around (4a + -8c) 3a + -2c + 4a + -8c = 0 Reorder the terms: 3a + 4a + -2c + -8c = 0 Combine like terms: 3a + 4a = 7a 7a + -2c + -8c = 0 Combine like terms: -2c + -8c = -10c 7a + -10c = 0 Solving 7a + -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. 7a + -10c + 10c = 0 + 10c Combine like terms: -10c + 10c = 0 7a + 0 = 0 + 10c 7a = 0 + 10c Remove the zero: 7a = 10c Divide each side by '7'. a = 1.428571429c Simplifying a = 1.428571429c
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