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Simplifying 5(0.6b + 0.4c) + b = 0 (0.6b * 5 + 0.4c * 5) + b = 0 (3b + 2c) + b = 0 Reorder the terms: 3b + b + 2c = 0 Combine like terms: 3b + b = 4b 4b + 2c = 0 Solving 4b + 2c = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2c' to each side of the equation. 4b + 2c + -2c = 0 + -2c Combine like terms: 2c + -2c = 0 4b + 0 = 0 + -2c 4b = 0 + -2c Remove the zero: 4b = -2c Divide each side by '4'. b = -0.5c Simplifying b = -0.5c
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