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Simplifying a + 7b + a + 3c = 0 Reorder the terms: a + a + 7b + 3c = 0 Combine like terms: a + a = 2a 2a + 7b + 3c = 0 Solving 2a + 7b + 3c = 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 + 3c = 0 + -7b Combine like terms: 7b + -7b = 0 2a + 0 + 3c = 0 + -7b 2a + 3c = 0 + -7b Remove the zero: 2a + 3c = -7b Add '-3c' to each side of the equation. 2a + 3c + -3c = -7b + -3c Combine like terms: 3c + -3c = 0 2a + 0 = -7b + -3c 2a = -7b + -3c Divide each side by '2'. a = -3.5b + -1.5c Simplifying a = -3.5b + -1.5c
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