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Simplifying 8(5a + 8c) + -6(2a + 4c) = 0 (5a * 8 + 8c * 8) + -6(2a + 4c) = 0 (40a + 64c) + -6(2a + 4c) = 0 40a + 64c + (2a * -6 + 4c * -6) = 0 40a + 64c + (-12a + -24c) = 0 Reorder the terms: 40a + -12a + 64c + -24c = 0 Combine like terms: 40a + -12a = 28a 28a + 64c + -24c = 0 Combine like terms: 64c + -24c = 40c 28a + 40c = 0 Solving 28a + 40c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-40c' to each side of the equation. 28a + 40c + -40c = 0 + -40c Combine like terms: 40c + -40c = 0 28a + 0 = 0 + -40c 28a = 0 + -40c Remove the zero: 28a = -40c Divide each side by '28'. a = -1.428571429c Simplifying a = -1.428571429c
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