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Simplifying 11a + 17b + 2c + 3c + -2b + -2a = 0 Reorder the terms: 11a + -2a + 17b + -2b + 2c + 3c = 0 Combine like terms: 11a + -2a = 9a 9a + 17b + -2b + 2c + 3c = 0 Combine like terms: 17b + -2b = 15b 9a + 15b + 2c + 3c = 0 Combine like terms: 2c + 3c = 5c 9a + 15b + 5c = 0 Solving 9a + 15b + 5c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-15b' to each side of the equation. 9a + 15b + -15b + 5c = 0 + -15b Combine like terms: 15b + -15b = 0 9a + 0 + 5c = 0 + -15b 9a + 5c = 0 + -15b Remove the zero: 9a + 5c = -15b Add '-5c' to each side of the equation. 9a + 5c + -5c = -15b + -5c Combine like terms: 5c + -5c = 0 9a + 0 = -15b + -5c 9a = -15b + -5c Divide each side by '9'. a = -1.666666667b + -0.5555555556c Simplifying a = -1.666666667b + -0.5555555556c
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