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Simplifying a + 2b + 2a + b + 2c = 0 Reorder the terms: a + 2a + 2b + b + 2c = 0 Combine like terms: a + 2a = 3a 3a + 2b + b + 2c = 0 Combine like terms: 2b + b = 3b 3a + 3b + 2c = 0 Solving 3a + 3b + 2c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3b' to each side of the equation. 3a + 3b + -3b + 2c = 0 + -3b Combine like terms: 3b + -3b = 0 3a + 0 + 2c = 0 + -3b 3a + 2c = 0 + -3b Remove the zero: 3a + 2c = -3b Add '-2c' to each side of the equation. 3a + 2c + -2c = -3b + -2c Combine like terms: 2c + -2c = 0 3a + 0 = -3b + -2c 3a = -3b + -2c Divide each side by '3'. a = -1b + -0.6666666667c Simplifying a = -1b + -0.6666666667c
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