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Simplifying 11a + 20b + 6c + 3c + -5b + -2a = 0 Reorder the terms: 11a + -2a + 20b + -5b + 6c + 3c = 0 Combine like terms: 11a + -2a = 9a 9a + 20b + -5b + 6c + 3c = 0 Combine like terms: 20b + -5b = 15b 9a + 15b + 6c + 3c = 0 Combine like terms: 6c + 3c = 9c 9a + 15b + 9c = 0 Solving 9a + 15b + 9c = 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 + 9c = 0 + -15b Combine like terms: 15b + -15b = 0 9a + 0 + 9c = 0 + -15b 9a + 9c = 0 + -15b Remove the zero: 9a + 9c = -15b Add '-9c' to each side of the equation. 9a + 9c + -9c = -15b + -9c Combine like terms: 9c + -9c = 0 9a + 0 = -15b + -9c 9a = -15b + -9c Divide each side by '9'. a = -1.666666667b + -1c Simplifying a = -1.666666667b + -1c
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