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Simplifying 13a + 20b + 4c + 2c + -6b + -3a = 0 Reorder the terms: 13a + -3a + 20b + -6b + 4c + 2c = 0 Combine like terms: 13a + -3a = 10a 10a + 20b + -6b + 4c + 2c = 0 Combine like terms: 20b + -6b = 14b 10a + 14b + 4c + 2c = 0 Combine like terms: 4c + 2c = 6c 10a + 14b + 6c = 0 Solving 10a + 14b + 6c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-14b' to each side of the equation. 10a + 14b + -14b + 6c = 0 + -14b Combine like terms: 14b + -14b = 0 10a + 0 + 6c = 0 + -14b 10a + 6c = 0 + -14b Remove the zero: 10a + 6c = -14b Add '-6c' to each side of the equation. 10a + 6c + -6c = -14b + -6c Combine like terms: 6c + -6c = 0 10a + 0 = -14b + -6c 10a = -14b + -6c Divide each side by '10'. a = -1.4b + -0.6c Simplifying a = -1.4b + -0.6c
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