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Simplifying 9a + -15b + 6c + -6b + 5a + -7b + -6b + 8a + -9b + 2a + -7c = 0 Reorder the terms: 9a + 5a + 8a + 2a + -15b + -6b + -7b + -6b + -9b + 6c + -7c = 0 Combine like terms: 9a + 5a = 14a 14a + 8a + 2a + -15b + -6b + -7b + -6b + -9b + 6c + -7c = 0 Combine like terms: 14a + 8a = 22a 22a + 2a + -15b + -6b + -7b + -6b + -9b + 6c + -7c = 0 Combine like terms: 22a + 2a = 24a 24a + -15b + -6b + -7b + -6b + -9b + 6c + -7c = 0 Combine like terms: -15b + -6b = -21b 24a + -21b + -7b + -6b + -9b + 6c + -7c = 0 Combine like terms: -21b + -7b = -28b 24a + -28b + -6b + -9b + 6c + -7c = 0 Combine like terms: -28b + -6b = -34b 24a + -34b + -9b + 6c + -7c = 0 Combine like terms: -34b + -9b = -43b 24a + -43b + 6c + -7c = 0 Combine like terms: 6c + -7c = -1c 24a + -43b + -1c = 0 Solving 24a + -43b + -1c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '43b' to each side of the equation. 24a + -43b + 43b + -1c = 0 + 43b Combine like terms: -43b + 43b = 0 24a + 0 + -1c = 0 + 43b 24a + -1c = 0 + 43b Remove the zero: 24a + -1c = 43b Add 'c' to each side of the equation. 24a + -1c + c = 43b + c Combine like terms: -1c + c = 0 24a + 0 = 43b + c 24a = 43b + c Divide each side by '24'. a = 1.791666667b + 0.04166666667c Simplifying a = 1.791666667b + 0.04166666667c
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