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Simplifying 18a + 15b + 4c + 5c + -3b + -4a = 0 Reorder the terms: 18a + -4a + 15b + -3b + 4c + 5c = 0 Combine like terms: 18a + -4a = 14a 14a + 15b + -3b + 4c + 5c = 0 Combine like terms: 15b + -3b = 12b 14a + 12b + 4c + 5c = 0 Combine like terms: 4c + 5c = 9c 14a + 12b + 9c = 0 Solving 14a + 12b + 9c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12b' to each side of the equation. 14a + 12b + -12b + 9c = 0 + -12b Combine like terms: 12b + -12b = 0 14a + 0 + 9c = 0 + -12b 14a + 9c = 0 + -12b Remove the zero: 14a + 9c = -12b Add '-9c' to each side of the equation. 14a + 9c + -9c = -12b + -9c Combine like terms: 9c + -9c = 0 14a + 0 = -12b + -9c 14a = -12b + -9c Divide each side by '14'. a = -0.8571428571b + -0.6428571429c Simplifying a = -0.8571428571b + -0.6428571429c
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