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Simplifying 3b + 4c + -5b + 7c + 9b = 0 Reorder the terms: 3b + -5b + 9b + 4c + 7c = 0 Combine like terms: 3b + -5b = -2b -2b + 9b + 4c + 7c = 0 Combine like terms: -2b + 9b = 7b 7b + 4c + 7c = 0 Combine like terms: 4c + 7c = 11c 7b + 11c = 0 Solving 7b + 11c = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-11c' to each side of the equation. 7b + 11c + -11c = 0 + -11c Combine like terms: 11c + -11c = 0 7b + 0 = 0 + -11c 7b = 0 + -11c Remove the zero: 7b = -11c Divide each side by '7'. b = -1.571428571c Simplifying b = -1.571428571c
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