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Simplifying 5a + 9b + 7c + -4a + 5b + -3c = 0 Reorder the terms: 5a + -4a + 9b + 5b + 7c + -3c = 0 Combine like terms: 5a + -4a = 1a 1a + 9b + 5b + 7c + -3c = 0 Combine like terms: 9b + 5b = 14b 1a + 14b + 7c + -3c = 0 Combine like terms: 7c + -3c = 4c 1a + 14b + 4c = 0 Solving 1a + 14b + 4c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-14b' to each side of the equation. 1a + 14b + -14b + 4c = 0 + -14b Combine like terms: 14b + -14b = 0 1a + 0 + 4c = 0 + -14b 1a + 4c = 0 + -14b Remove the zero: 1a + 4c = -14b Add '-4c' to each side of the equation. 1a + 4c + -4c = -14b + -4c Combine like terms: 4c + -4c = 0 1a + 0 = -14b + -4c 1a = -14b + -4c Divide each side by '1'. a = -14b + -4c Simplifying a = -14b + -4c
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