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Simplifying 13a + 14b + 4c + 6c + -5b + -3a = 0 Reorder the terms: 13a + -3a + 14b + -5b + 4c + 6c = 0 Combine like terms: 13a + -3a = 10a 10a + 14b + -5b + 4c + 6c = 0 Combine like terms: 14b + -5b = 9b 10a + 9b + 4c + 6c = 0 Combine like terms: 4c + 6c = 10c 10a + 9b + 10c = 0 Solving 10a + 9b + 10c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9b' to each side of the equation. 10a + 9b + -9b + 10c = 0 + -9b Combine like terms: 9b + -9b = 0 10a + 0 + 10c = 0 + -9b 10a + 10c = 0 + -9b Remove the zero: 10a + 10c = -9b Add '-10c' to each side of the equation. 10a + 10c + -10c = -9b + -10c Combine like terms: 10c + -10c = 0 10a + 0 = -9b + -10c 10a = -9b + -10c Divide each side by '10'. a = -0.9b + -1c Simplifying a = -0.9b + -1c
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