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Simplifying 17a + -18b + 18c + 13a + 9b + 5c = 0 Reorder the terms: 17a + 13a + -18b + 9b + 18c + 5c = 0 Combine like terms: 17a + 13a = 30a 30a + -18b + 9b + 18c + 5c = 0 Combine like terms: -18b + 9b = -9b 30a + -9b + 18c + 5c = 0 Combine like terms: 18c + 5c = 23c 30a + -9b + 23c = 0 Solving 30a + -9b + 23c = 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. 30a + -9b + 9b + 23c = 0 + 9b Combine like terms: -9b + 9b = 0 30a + 0 + 23c = 0 + 9b 30a + 23c = 0 + 9b Remove the zero: 30a + 23c = 9b Add '-23c' to each side of the equation. 30a + 23c + -23c = 9b + -23c Combine like terms: 23c + -23c = 0 30a + 0 = 9b + -23c 30a = 9b + -23c Divide each side by '30'. a = 0.3b + -0.7666666667c Simplifying a = 0.3b + -0.7666666667c
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