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Simplifying 8b + -3c + 4b + 9c = 0 Reorder the terms: 8b + 4b + -3c + 9c = 0 Combine like terms: 8b + 4b = 12b 12b + -3c + 9c = 0 Combine like terms: -3c + 9c = 6c 12b + 6c = 0 Solving 12b + 6c = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6c' to each side of the equation. 12b + 6c + -6c = 0 + -6c Combine like terms: 6c + -6c = 0 12b + 0 = 0 + -6c 12b = 0 + -6c Remove the zero: 12b = -6c Divide each side by '12'. b = -0.5c Simplifying b = -0.5c
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