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Simplifying 6a + 5b + -2a + -1b + 7a + 3c + a = 0 Reorder the terms: 6a + -2a + 7a + a + 5b + -1b + 3c = 0 Combine like terms: 6a + -2a = 4a 4a + 7a + a + 5b + -1b + 3c = 0 Combine like terms: 4a + 7a = 11a 11a + a + 5b + -1b + 3c = 0 Combine like terms: 11a + a = 12a 12a + 5b + -1b + 3c = 0 Combine like terms: 5b + -1b = 4b 12a + 4b + 3c = 0 Solving 12a + 4b + 3c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4b' to each side of the equation. 12a + 4b + -4b + 3c = 0 + -4b Combine like terms: 4b + -4b = 0 12a + 0 + 3c = 0 + -4b 12a + 3c = 0 + -4b Remove the zero: 12a + 3c = -4b Add '-3c' to each side of the equation. 12a + 3c + -3c = -4b + -3c Combine like terms: 3c + -3c = 0 12a + 0 = -4b + -3c 12a = -4b + -3c Divide each side by '12'. a = -0.3333333333b + -0.25c Simplifying a = -0.3333333333b + -0.25c
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