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Simplifying 11a + 20b + 5c + 3c + -4b + -4a = 0 Reorder the terms: 11a + -4a + 20b + -4b + 5c + 3c = 0 Combine like terms: 11a + -4a = 7a 7a + 20b + -4b + 5c + 3c = 0 Combine like terms: 20b + -4b = 16b 7a + 16b + 5c + 3c = 0 Combine like terms: 5c + 3c = 8c 7a + 16b + 8c = 0 Solving 7a + 16b + 8c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-16b' to each side of the equation. 7a + 16b + -16b + 8c = 0 + -16b Combine like terms: 16b + -16b = 0 7a + 0 + 8c = 0 + -16b 7a + 8c = 0 + -16b Remove the zero: 7a + 8c = -16b Add '-8c' to each side of the equation. 7a + 8c + -8c = -16b + -8c Combine like terms: 8c + -8c = 0 7a + 0 = -16b + -8c 7a = -16b + -8c Divide each side by '7'. a = -2.285714286b + -1.142857143c Simplifying a = -2.285714286b + -1.142857143c
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