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Simplifying 3b + 5c + 4b + -2c = 0 Reorder the terms: 3b + 4b + 5c + -2c = 0 Combine like terms: 3b + 4b = 7b 7b + 5c + -2c = 0 Combine like terms: 5c + -2c = 3c 7b + 3c = 0 Solving 7b + 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. 7b + 3c + -3c = 0 + -3c Combine like terms: 3c + -3c = 0 7b + 0 = 0 + -3c 7b = 0 + -3c Remove the zero: 7b = -3c Divide each side by '7'. b = -0.4285714286c Simplifying b = -0.4285714286c
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