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Simplifying 18a + 16b + 6c + 2c + -2b + -2a = 0 Reorder the terms: 18a + -2a + 16b + -2b + 6c + 2c = 0 Combine like terms: 18a + -2a = 16a 16a + 16b + -2b + 6c + 2c = 0 Combine like terms: 16b + -2b = 14b 16a + 14b + 6c + 2c = 0 Combine like terms: 6c + 2c = 8c 16a + 14b + 8c = 0 Solving 16a + 14b + 8c = 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. 16a + 14b + -14b + 8c = 0 + -14b Combine like terms: 14b + -14b = 0 16a + 0 + 8c = 0 + -14b 16a + 8c = 0 + -14b Remove the zero: 16a + 8c = -14b Add '-8c' to each side of the equation. 16a + 8c + -8c = -14b + -8c Combine like terms: 8c + -8c = 0 16a + 0 = -14b + -8c 16a = -14b + -8c Divide each side by '16'. a = -0.875b + -0.5c Simplifying a = -0.875b + -0.5c
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