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Simplifying 2 + 3a + 5b + c = 0 Solving 2 + 3a + 5b + c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 3a + 5b + -2 + c = 0 + -2 Reorder the terms: 2 + -2 + 3a + 5b + c = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3a + 5b + c = 0 + -2 3a + 5b + c = 0 + -2 Combine like terms: 0 + -2 = -2 3a + 5b + c = -2 Add '-5b' to each side of the equation. 3a + 5b + -5b + c = -2 + -5b Combine like terms: 5b + -5b = 0 3a + 0 + c = -2 + -5b 3a + c = -2 + -5b Add '-1c' to each side of the equation. 3a + c + -1c = -2 + -5b + -1c Combine like terms: c + -1c = 0 3a + 0 = -2 + -5b + -1c 3a = -2 + -5b + -1c Divide each side by '3'. a = -0.6666666667 + -1.666666667b + -0.3333333333c Simplifying a = -0.6666666667 + -1.666666667b + -0.3333333333c
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