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