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Simplifying 13a + 12b + 5c + 4c + -5b + -4a = 0 Reorder the terms: 13a + -4a + 12b + -5b + 5c + 4c = 0 Combine like terms: 13a + -4a = 9a 9a + 12b + -5b + 5c + 4c = 0 Combine like terms: 12b + -5b = 7b 9a + 7b + 5c + 4c = 0 Combine like terms: 5c + 4c = 9c 9a + 7b + 9c = 0 Solving 9a + 7b + 9c = 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. 9a + 7b + -7b + 9c = 0 + -7b Combine like terms: 7b + -7b = 0 9a + 0 + 9c = 0 + -7b 9a + 9c = 0 + -7b Remove the zero: 9a + 9c = -7b Add '-9c' to each side of the equation. 9a + 9c + -9c = -7b + -9c Combine like terms: 9c + -9c = 0 9a + 0 = -7b + -9c 9a = -7b + -9c Divide each side by '9'. a = -0.7777777778b + -1c Simplifying a = -0.7777777778b + -1c
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