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Simplifying 12b + 3c + -4b + 5c = 0 Reorder the terms: 12b + -4b + 3c + 5c = 0 Combine like terms: 12b + -4b = 8b 8b + 3c + 5c = 0 Combine like terms: 3c + 5c = 8c 8b + 8c = 0 Solving 8b + 8c = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-8c' to each side of the equation. 8b + 8c + -8c = 0 + -8c Combine like terms: 8c + -8c = 0 8b + 0 = 0 + -8c 8b = 0 + -8c Remove the zero: 8b = -8c Divide each side by '8'. b = -1c Simplifying b = -1c
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