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Simplifying 17a + 18b + 6c + 4c + -4b + -5a = 0 Reorder the terms: 17a + -5a + 18b + -4b + 6c + 4c = 0 Combine like terms: 17a + -5a = 12a 12a + 18b + -4b + 6c + 4c = 0 Combine like terms: 18b + -4b = 14b 12a + 14b + 6c + 4c = 0 Combine like terms: 6c + 4c = 10c 12a + 14b + 10c = 0 Solving 12a + 14b + 10c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-14b' to each side of the equation. 12a + 14b + -14b + 10c = 0 + -14b Combine like terms: 14b + -14b = 0 12a + 0 + 10c = 0 + -14b 12a + 10c = 0 + -14b Remove the zero: 12a + 10c = -14b Add '-10c' to each side of the equation. 12a + 10c + -10c = -14b + -10c Combine like terms: 10c + -10c = 0 12a + 0 = -14b + -10c 12a = -14b + -10c Divide each side by '12'. a = -1.166666667b + -0.8333333333c Simplifying a = -1.166666667b + -0.8333333333c
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