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Simplifying 16a + 18b + 3c + 2c + -3b + -3a = 0 Reorder the terms: 16a + -3a + 18b + -3b + 3c + 2c = 0 Combine like terms: 16a + -3a = 13a 13a + 18b + -3b + 3c + 2c = 0 Combine like terms: 18b + -3b = 15b 13a + 15b + 3c + 2c = 0 Combine like terms: 3c + 2c = 5c 13a + 15b + 5c = 0 Solving 13a + 15b + 5c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-15b' to each side of the equation. 13a + 15b + -15b + 5c = 0 + -15b Combine like terms: 15b + -15b = 0 13a + 0 + 5c = 0 + -15b 13a + 5c = 0 + -15b Remove the zero: 13a + 5c = -15b Add '-5c' to each side of the equation. 13a + 5c + -5c = -15b + -5c Combine like terms: 5c + -5c = 0 13a + 0 = -15b + -5c 13a = -15b + -5c Divide each side by '13'. a = -1.153846154b + -0.3846153846c Simplifying a = -1.153846154b + -0.3846153846c
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