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Simplifying 9a + -3b + -1c + 10b + -5a + 4c = 0 Reorder the terms: 9a + -5a + -3b + 10b + -1c + 4c = 0 Combine like terms: 9a + -5a = 4a 4a + -3b + 10b + -1c + 4c = 0 Combine like terms: -3b + 10b = 7b 4a + 7b + -1c + 4c = 0 Combine like terms: -1c + 4c = 3c 4a + 7b + 3c = 0 Solving 4a + 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. 4a + 7b + -7b + 3c = 0 + -7b Combine like terms: 7b + -7b = 0 4a + 0 + 3c = 0 + -7b 4a + 3c = 0 + -7b Remove the zero: 4a + 3c = -7b Add '-3c' to each side of the equation. 4a + 3c + -3c = -7b + -3c Combine like terms: 3c + -3c = 0 4a + 0 = -7b + -3c 4a = -7b + -3c Divide each side by '4'. a = -1.75b + -0.75c Simplifying a = -1.75b + -0.75c
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