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Simplifying 16a + 14b + 6c + 4c + -5b + -3a = 0 Reorder the terms: 16a + -3a + 14b + -5b + 6c + 4c = 0 Combine like terms: 16a + -3a = 13a 13a + 14b + -5b + 6c + 4c = 0 Combine like terms: 14b + -5b = 9b 13a + 9b + 6c + 4c = 0 Combine like terms: 6c + 4c = 10c 13a + 9b + 10c = 0 Solving 13a + 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. 13a + 9b + -9b + 10c = 0 + -9b Combine like terms: 9b + -9b = 0 13a + 0 + 10c = 0 + -9b 13a + 10c = 0 + -9b Remove the zero: 13a + 10c = -9b Add '-10c' to each side of the equation. 13a + 10c + -10c = -9b + -10c Combine like terms: 10c + -10c = 0 13a + 0 = -9b + -10c 13a = -9b + -10c Divide each side by '13'. a = -0.6923076923b + -0.7692307692c Simplifying a = -0.6923076923b + -0.7692307692c
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