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Simplifying a + 6b + a + 5c = 0 Reorder the terms: a + a + 6b + 5c = 0 Combine like terms: a + a = 2a 2a + 6b + 5c = 0 Solving 2a + 6b + 5c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6b' to each side of the equation. 2a + 6b + -6b + 5c = 0 + -6b Combine like terms: 6b + -6b = 0 2a + 0 + 5c = 0 + -6b 2a + 5c = 0 + -6b Remove the zero: 2a + 5c = -6b Add '-5c' to each side of the equation. 2a + 5c + -5c = -6b + -5c Combine like terms: 5c + -5c = 0 2a + 0 = -6b + -5c 2a = -6b + -5c Divide each side by '2'. a = -3b + -2.5c Simplifying a = -3b + -2.5c
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