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Simplifying a + 5b + a + 8c = 0 Reorder the terms: a + a + 5b + 8c = 0 Combine like terms: a + a = 2a 2a + 5b + 8c = 0 Solving 2a + 5b + 8c = 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 + 8c = 0 + -5b Combine like terms: 5b + -5b = 0 2a + 0 + 8c = 0 + -5b 2a + 8c = 0 + -5b Remove the zero: 2a + 8c = -5b Add '-8c' to each side of the equation. 2a + 8c + -8c = -5b + -8c Combine like terms: 8c + -8c = 0 2a + 0 = -5b + -8c 2a = -5b + -8c Divide each side by '2'. a = -2.5b + -4c Simplifying a = -2.5b + -4c
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