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Simplifying 3a + 1 + 3 + 2 + 2b + c = 0 Reorder the terms: 1 + 3 + 2 + 3a + 2b + c = 0 Combine like terms: 1 + 3 = 4 4 + 2 + 3a + 2b + c = 0 Combine like terms: 4 + 2 = 6 6 + 3a + 2b + c = 0 Solving 6 + 3a + 2b + c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 3a + 2b + -6 + c = 0 + -6 Reorder the terms: 6 + -6 + 3a + 2b + c = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 3a + 2b + c = 0 + -6 3a + 2b + c = 0 + -6 Combine like terms: 0 + -6 = -6 3a + 2b + c = -6 Add '-2b' to each side of the equation. 3a + 2b + -2b + c = -6 + -2b Combine like terms: 2b + -2b = 0 3a + 0 + c = -6 + -2b 3a + c = -6 + -2b Add '-1c' to each side of the equation. 3a + c + -1c = -6 + -2b + -1c Combine like terms: c + -1c = 0 3a + 0 = -6 + -2b + -1c 3a = -6 + -2b + -1c Divide each side by '3'. a = -2 + -0.6666666667b + -0.3333333333c Simplifying a = -2 + -0.6666666667b + -0.3333333333c
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