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Simplifying 5a + -3c + 8c + -2b = 0 Reorder the terms: 5a + -2b + -3c + 8c = 0 Combine like terms: -3c + 8c = 5c 5a + -2b + 5c = 0 Solving 5a + -2b + 5c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2b' to each side of the equation. 5a + -2b + 2b + 5c = 0 + 2b Combine like terms: -2b + 2b = 0 5a + 0 + 5c = 0 + 2b 5a + 5c = 0 + 2b Remove the zero: 5a + 5c = 2b Add '-5c' to each side of the equation. 5a + 5c + -5c = 2b + -5c Combine like terms: 5c + -5c = 0 5a + 0 = 2b + -5c 5a = 2b + -5c Divide each side by '5'. a = 0.4b + -1c Simplifying a = 0.4b + -1c
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