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Simplifying 8b + 7c + -2b + 12c = 0 Reorder the terms: 8b + -2b + 7c + 12c = 0 Combine like terms: 8b + -2b = 6b 6b + 7c + 12c = 0 Combine like terms: 7c + 12c = 19c 6b + 19c = 0 Solving 6b + 19c = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-19c' to each side of the equation. 6b + 19c + -19c = 0 + -19c Combine like terms: 19c + -19c = 0 6b + 0 = 0 + -19c 6b = 0 + -19c Remove the zero: 6b = -19c Divide each side by '6'. b = -3.166666667c Simplifying b = -3.166666667c
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