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Simplifying 18a + 13b + 6c + 6c + -6b + -6a = 0 Reorder the terms: 18a + -6a + 13b + -6b + 6c + 6c = 0 Combine like terms: 18a + -6a = 12a 12a + 13b + -6b + 6c + 6c = 0 Combine like terms: 13b + -6b = 7b 12a + 7b + 6c + 6c = 0 Combine like terms: 6c + 6c = 12c 12a + 7b + 12c = 0 Solving 12a + 7b + 12c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7b' to each side of the equation. 12a + 7b + -7b + 12c = 0 + -7b Combine like terms: 7b + -7b = 0 12a + 0 + 12c = 0 + -7b 12a + 12c = 0 + -7b Remove the zero: 12a + 12c = -7b Add '-12c' to each side of the equation. 12a + 12c + -12c = -7b + -12c Combine like terms: 12c + -12c = 0 12a + 0 = -7b + -12c 12a = -7b + -12c Divide each side by '12'. a = -0.5833333333b + -1c Simplifying a = -0.5833333333b + -1c
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