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Simplifying 13a + 13b + 6c + 5c + -2b + -2a = 0 Reorder the terms: 13a + -2a + 13b + -2b + 6c + 5c = 0 Combine like terms: 13a + -2a = 11a 11a + 13b + -2b + 6c + 5c = 0 Combine like terms: 13b + -2b = 11b 11a + 11b + 6c + 5c = 0 Combine like terms: 6c + 5c = 11c 11a + 11b + 11c = 0 Solving 11a + 11b + 11c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-11b' to each side of the equation. 11a + 11b + -11b + 11c = 0 + -11b Combine like terms: 11b + -11b = 0 11a + 0 + 11c = 0 + -11b 11a + 11c = 0 + -11b Remove the zero: 11a + 11c = -11b Add '-11c' to each side of the equation. 11a + 11c + -11c = -11b + -11c Combine like terms: 11c + -11c = 0 11a + 0 = -11b + -11c 11a = -11b + -11c Divide each side by '11'. a = -1b + -1c Simplifying a = -1b + -1c
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