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Simplifying 3a + 6b + 5c + 3b = 0 Reorder the terms: 3a + 6b + 3b + 5c = 0 Combine like terms: 6b + 3b = 9b 3a + 9b + 5c = 0 Solving 3a + 9b + 5c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9b' to each side of the equation. 3a + 9b + -9b + 5c = 0 + -9b Combine like terms: 9b + -9b = 0 3a + 0 + 5c = 0 + -9b 3a + 5c = 0 + -9b Remove the zero: 3a + 5c = -9b Add '-5c' to each side of the equation. 3a + 5c + -5c = -9b + -5c Combine like terms: 5c + -5c = 0 3a + 0 = -9b + -5c 3a = -9b + -5c Divide each side by '3'. a = -3b + -1.666666667c Simplifying a = -3b + -1.666666667c
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