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Simplifying 6a + 3b + -2a + 5c + 4b = 0 Reorder the terms: 6a + -2a + 3b + 4b + 5c = 0 Combine like terms: 6a + -2a = 4a 4a + 3b + 4b + 5c = 0 Combine like terms: 3b + 4b = 7b 4a + 7b + 5c = 0 Solving 4a + 7b + 5c = 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. 4a + 7b + -7b + 5c = 0 + -7b Combine like terms: 7b + -7b = 0 4a + 0 + 5c = 0 + -7b 4a + 5c = 0 + -7b Remove the zero: 4a + 5c = -7b Add '-5c' to each side of the equation. 4a + 5c + -5c = -7b + -5c Combine like terms: 5c + -5c = 0 4a + 0 = -7b + -5c 4a = -7b + -5c Divide each side by '4'. a = -1.75b + -1.25c Simplifying a = -1.75b + -1.25c
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