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Simplifying 11a + 15b + 5c + 4c + -2b + -4a = 0 Reorder the terms: 11a + -4a + 15b + -2b + 5c + 4c = 0 Combine like terms: 11a + -4a = 7a 7a + 15b + -2b + 5c + 4c = 0 Combine like terms: 15b + -2b = 13b 7a + 13b + 5c + 4c = 0 Combine like terms: 5c + 4c = 9c 7a + 13b + 9c = 0 Solving 7a + 13b + 9c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-13b' to each side of the equation. 7a + 13b + -13b + 9c = 0 + -13b Combine like terms: 13b + -13b = 0 7a + 0 + 9c = 0 + -13b 7a + 9c = 0 + -13b Remove the zero: 7a + 9c = -13b Add '-9c' to each side of the equation. 7a + 9c + -9c = -13b + -9c Combine like terms: 9c + -9c = 0 7a + 0 = -13b + -9c 7a = -13b + -9c Divide each side by '7'. a = -1.857142857b + -1.285714286c Simplifying a = -1.857142857b + -1.285714286c
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