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Simplifying 8c + -2(4a + 2c) = 0 8c + (4a * -2 + 2c * -2) = 0 8c + (-8a + -4c) = 0 Reorder the terms: -8a + 8c + -4c = 0 Combine like terms: 8c + -4c = 4c -8a + 4c = 0 Solving -8a + 4c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4c' to each side of the equation. -8a + 4c + -4c = 0 + -4c Combine like terms: 4c + -4c = 0 -8a + 0 = 0 + -4c -8a = 0 + -4c Remove the zero: -8a = -4c Divide each side by '-8'. a = 0.5c Simplifying a = 0.5c
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