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Simplifying 19a + 15b + 5c + 3c + -2b + -3a = 0 Reorder the terms: 19a + -3a + 15b + -2b + 5c + 3c = 0 Combine like terms: 19a + -3a = 16a 16a + 15b + -2b + 5c + 3c = 0 Combine like terms: 15b + -2b = 13b 16a + 13b + 5c + 3c = 0 Combine like terms: 5c + 3c = 8c 16a + 13b + 8c = 0 Solving 16a + 13b + 8c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-13b' to each side of the equation. 16a + 13b + -13b + 8c = 0 + -13b Combine like terms: 13b + -13b = 0 16a + 0 + 8c = 0 + -13b 16a + 8c = 0 + -13b Remove the zero: 16a + 8c = -13b Add '-8c' to each side of the equation. 16a + 8c + -8c = -13b + -8c Combine like terms: 8c + -8c = 0 16a + 0 = -13b + -8c 16a = -13b + -8c Divide each side by '16'. a = -0.8125b + -0.5c Simplifying a = -0.8125b + -0.5c
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