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Simplifying a + 2a + -1b + c + 3b = 0 Reorder the terms: a + 2a + -1b + 3b + c = 0 Combine like terms: a + 2a = 3a 3a + -1b + 3b + c = 0 Combine like terms: -1b + 3b = 2b 3a + 2b + c = 0 Solving 3a + 2b + c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2b' to each side of the equation. 3a + 2b + -2b + c = 0 + -2b Combine like terms: 2b + -2b = 0 3a + 0 + c = 0 + -2b 3a + c = 0 + -2b Remove the zero: 3a + c = -2b Add '-1c' to each side of the equation. 3a + c + -1c = -2b + -1c Combine like terms: c + -1c = 0 3a + 0 = -2b + -1c 3a = -2b + -1c Divide each side by '3'. a = -0.6666666667b + -0.3333333333c Simplifying a = -0.6666666667b + -0.3333333333c
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