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Simplifying 11a + 17b + 6c + 2c + -5b + -4a = 0 Reorder the terms: 11a + -4a + 17b + -5b + 6c + 2c = 0 Combine like terms: 11a + -4a = 7a 7a + 17b + -5b + 6c + 2c = 0 Combine like terms: 17b + -5b = 12b 7a + 12b + 6c + 2c = 0 Combine like terms: 6c + 2c = 8c 7a + 12b + 8c = 0 Solving 7a + 12b + 8c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12b' to each side of the equation. 7a + 12b + -12b + 8c = 0 + -12b Combine like terms: 12b + -12b = 0 7a + 0 + 8c = 0 + -12b 7a + 8c = 0 + -12b Remove the zero: 7a + 8c = -12b Add '-8c' to each side of the equation. 7a + 8c + -8c = -12b + -8c Combine like terms: 8c + -8c = 0 7a + 0 = -12b + -8c 7a = -12b + -8c Divide each side by '7'. a = -1.714285714b + -1.142857143c Simplifying a = -1.714285714b + -1.142857143c
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