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Simplifying 16a + 16b + 3c + 6c + -5b + -2a = 0 Reorder the terms: 16a + -2a + 16b + -5b + 3c + 6c = 0 Combine like terms: 16a + -2a = 14a 14a + 16b + -5b + 3c + 6c = 0 Combine like terms: 16b + -5b = 11b 14a + 11b + 3c + 6c = 0 Combine like terms: 3c + 6c = 9c 14a + 11b + 9c = 0 Solving 14a + 11b + 9c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-11b' to each side of the equation. 14a + 11b + -11b + 9c = 0 + -11b Combine like terms: 11b + -11b = 0 14a + 0 + 9c = 0 + -11b 14a + 9c = 0 + -11b Remove the zero: 14a + 9c = -11b Add '-9c' to each side of the equation. 14a + 9c + -9c = -11b + -9c Combine like terms: 9c + -9c = 0 14a + 0 = -11b + -9c 14a = -11b + -9c Divide each side by '14'. a = -0.7857142857b + -0.6428571429c Simplifying a = -0.7857142857b + -0.6428571429c
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