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Simplifying 13a + 20b + 4c + 6c + -3b + -2a = 0 Reorder the terms: 13a + -2a + 20b + -3b + 4c + 6c = 0 Combine like terms: 13a + -2a = 11a 11a + 20b + -3b + 4c + 6c = 0 Combine like terms: 20b + -3b = 17b 11a + 17b + 4c + 6c = 0 Combine like terms: 4c + 6c = 10c 11a + 17b + 10c = 0 Solving 11a + 17b + 10c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-17b' to each side of the equation. 11a + 17b + -17b + 10c = 0 + -17b Combine like terms: 17b + -17b = 0 11a + 0 + 10c = 0 + -17b 11a + 10c = 0 + -17b Remove the zero: 11a + 10c = -17b Add '-10c' to each side of the equation. 11a + 10c + -10c = -17b + -10c Combine like terms: 10c + -10c = 0 11a + 0 = -17b + -10c 11a = -17b + -10c Divide each side by '11'. a = -1.545454545b + -0.9090909091c Simplifying a = -1.545454545b + -0.9090909091c
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