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Simplifying 13a + 2b + 5c + -8a + -5b = 0 Reorder the terms: 13a + -8a + 2b + -5b + 5c = 0 Combine like terms: 13a + -8a = 5a 5a + 2b + -5b + 5c = 0 Combine like terms: 2b + -5b = -3b 5a + -3b + 5c = 0 Solving 5a + -3b + 5c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3b' to each side of the equation. 5a + -3b + 3b + 5c = 0 + 3b Combine like terms: -3b + 3b = 0 5a + 0 + 5c = 0 + 3b 5a + 5c = 0 + 3b Remove the zero: 5a + 5c = 3b Add '-5c' to each side of the equation. 5a + 5c + -5c = 3b + -5c Combine like terms: 5c + -5c = 0 5a + 0 = 3b + -5c 5a = 3b + -5c Divide each side by '5'. a = 0.6b + -1c Simplifying a = 0.6b + -1c
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