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Simplifying 8b + 4a + -5c + -3b + -2a = 0 Reorder the terms: 4a + -2a + 8b + -3b + -5c = 0 Combine like terms: 4a + -2a = 2a 2a + 8b + -3b + -5c = 0 Combine like terms: 8b + -3b = 5b 2a + 5b + -5c = 0 Solving 2a + 5b + -5c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5b' to each side of the equation. 2a + 5b + -5b + -5c = 0 + -5b Combine like terms: 5b + -5b = 0 2a + 0 + -5c = 0 + -5b 2a + -5c = 0 + -5b Remove the zero: 2a + -5c = -5b Add '5c' to each side of the equation. 2a + -5c + 5c = -5b + 5c Combine like terms: -5c + 5c = 0 2a + 0 = -5b + 5c 2a = -5b + 5c Divide each side by '2'. a = -2.5b + 2.5c Simplifying a = -2.5b + 2.5c
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