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Simplifying 11a + 16b + 6c + 3c + -3b + -2a = 0 Reorder the terms: 11a + -2a + 16b + -3b + 6c + 3c = 0 Combine like terms: 11a + -2a = 9a 9a + 16b + -3b + 6c + 3c = 0 Combine like terms: 16b + -3b = 13b 9a + 13b + 6c + 3c = 0 Combine like terms: 6c + 3c = 9c 9a + 13b + 9c = 0 Solving 9a + 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. 9a + 13b + -13b + 9c = 0 + -13b Combine like terms: 13b + -13b = 0 9a + 0 + 9c = 0 + -13b 9a + 9c = 0 + -13b Remove the zero: 9a + 9c = -13b Add '-9c' to each side of the equation. 9a + 9c + -9c = -13b + -9c Combine like terms: 9c + -9c = 0 9a + 0 = -13b + -9c 9a = -13b + -9c Divide each side by '9'. a = -1.444444444b + -1c Simplifying a = -1.444444444b + -1c
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