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Simplifying 17a + 16b + 6c + 3c + -2b + -3a = 0 Reorder the terms: 17a + -3a + 16b + -2b + 6c + 3c = 0 Combine like terms: 17a + -3a = 14a 14a + 16b + -2b + 6c + 3c = 0 Combine like terms: 16b + -2b = 14b 14a + 14b + 6c + 3c = 0 Combine like terms: 6c + 3c = 9c 14a + 14b + 9c = 0 Solving 14a + 14b + 9c = 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. 14a + 14b + -14b + 9c = 0 + -14b Combine like terms: 14b + -14b = 0 14a + 0 + 9c = 0 + -14b 14a + 9c = 0 + -14b Remove the zero: 14a + 9c = -14b Add '-9c' to each side of the equation. 14a + 9c + -9c = -14b + -9c Combine like terms: 9c + -9c = 0 14a + 0 = -14b + -9c 14a = -14b + -9c Divide each side by '14'. a = -1b + -0.6428571429c Simplifying a = -1b + -0.6428571429c
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