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Simplifying 7b + -2a + 5c + 3b + 4a = 0 Reorder the terms: -2a + 4a + 7b + 3b + 5c = 0 Combine like terms: -2a + 4a = 2a 2a + 7b + 3b + 5c = 0 Combine like terms: 7b + 3b = 10b 2a + 10b + 5c = 0 Solving 2a + 10b + 5c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10b' to each side of the equation. 2a + 10b + -10b + 5c = 0 + -10b Combine like terms: 10b + -10b = 0 2a + 0 + 5c = 0 + -10b 2a + 5c = 0 + -10b Remove the zero: 2a + 5c = -10b Add '-5c' to each side of the equation. 2a + 5c + -5c = -10b + -5c Combine like terms: 5c + -5c = 0 2a + 0 = -10b + -5c 2a = -10b + -5c Divide each side by '2'. a = -5b + -2.5c Simplifying a = -5b + -2.5c
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