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Simplifying 2a + 6b + 4c + b + 4c = 0 Reorder the terms: 2a + 6b + b + 4c + 4c = 0 Combine like terms: 6b + b = 7b 2a + 7b + 4c + 4c = 0 Combine like terms: 4c + 4c = 8c 2a + 7b + 8c = 0 Solving 2a + 7b + 8c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7b' to each side of the equation. 2a + 7b + -7b + 8c = 0 + -7b Combine like terms: 7b + -7b = 0 2a + 0 + 8c = 0 + -7b 2a + 8c = 0 + -7b Remove the zero: 2a + 8c = -7b Add '-8c' to each side of the equation. 2a + 8c + -8c = -7b + -8c Combine like terms: 8c + -8c = 0 2a + 0 = -7b + -8c 2a = -7b + -8c Divide each side by '2'. a = -3.5b + -4c Simplifying a = -3.5b + -4c
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