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Simplifying 8a + 3c + -2 + -4c + 2a = 0 Reorder the terms: -2 + 8a + 2a + 3c + -4c = 0 Combine like terms: 8a + 2a = 10a -2 + 10a + 3c + -4c = 0 Combine like terms: 3c + -4c = -1c -2 + 10a + -1c = 0 Solving -2 + 10a + -1c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 10a + 2 + -1c = 0 + 2 Reorder the terms: -2 + 2 + 10a + -1c = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 10a + -1c = 0 + 2 10a + -1c = 0 + 2 Combine like terms: 0 + 2 = 2 10a + -1c = 2 Add 'c' to each side of the equation. 10a + -1c + c = 2 + c Combine like terms: -1c + c = 0 10a + 0 = 2 + c 10a = 2 + c Divide each side by '10'. a = 0.2 + 0.1c Simplifying a = 0.2 + 0.1c
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