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Simplifying 6c + 2b + 7c + 4b = 0 Reorder the terms: 2b + 4b + 6c + 7c = 0 Combine like terms: 2b + 4b = 6b 6b + 6c + 7c = 0 Combine like terms: 6c + 7c = 13c 6b + 13c = 0 Solving 6b + 13c = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-13c' to each side of the equation. 6b + 13c + -13c = 0 + -13c Combine like terms: 13c + -13c = 0 6b + 0 = 0 + -13c 6b = 0 + -13c Remove the zero: 6b = -13c Divide each side by '6'. b = -2.166666667c Simplifying b = -2.166666667c
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