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Simplifying 17a + 19b + 3c + 2c + -2b + -2a = 0 Reorder the terms: 17a + -2a + 19b + -2b + 3c + 2c = 0 Combine like terms: 17a + -2a = 15a 15a + 19b + -2b + 3c + 2c = 0 Combine like terms: 19b + -2b = 17b 15a + 17b + 3c + 2c = 0 Combine like terms: 3c + 2c = 5c 15a + 17b + 5c = 0 Solving 15a + 17b + 5c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-17b' to each side of the equation. 15a + 17b + -17b + 5c = 0 + -17b Combine like terms: 17b + -17b = 0 15a + 0 + 5c = 0 + -17b 15a + 5c = 0 + -17b Remove the zero: 15a + 5c = -17b Add '-5c' to each side of the equation. 15a + 5c + -5c = -17b + -5c Combine like terms: 5c + -5c = 0 15a + 0 = -17b + -5c 15a = -17b + -5c Divide each side by '15'. a = -1.133333333b + -0.3333333333c Simplifying a = -1.133333333b + -0.3333333333c
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