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Simplifying 2b + 9c + 4b + -6c = 0 Reorder the terms: 2b + 4b + 9c + -6c = 0 Combine like terms: 2b + 4b = 6b 6b + 9c + -6c = 0 Combine like terms: 9c + -6c = 3c 6b + 3c = 0 Solving 6b + 3c = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3c' to each side of the equation. 6b + 3c + -3c = 0 + -3c Combine like terms: 3c + -3c = 0 6b + 0 = 0 + -3c 6b = 0 + -3c Remove the zero: 6b = -3c Divide each side by '6'. b = -0.5c Simplifying b = -0.5c
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