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Simplifying 2(b + c) + 3(b + c) + 5b = 0 (b * 2 + c * 2) + 3(b + c) + 5b = 0 (2b + 2c) + 3(b + c) + 5b = 0 2b + 2c + (b * 3 + c * 3) + 5b = 0 2b + 2c + (3b + 3c) + 5b = 0 Reorder the terms: 2b + 3b + 5b + 2c + 3c = 0 Combine like terms: 2b + 3b = 5b 5b + 5b + 2c + 3c = 0 Combine like terms: 5b + 5b = 10b 10b + 2c + 3c = 0 Combine like terms: 2c + 3c = 5c 10b + 5c = 0 Solving 10b + 5c = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5c' to each side of the equation. 10b + 5c + -5c = 0 + -5c Combine like terms: 5c + -5c = 0 10b + 0 = 0 + -5c 10b = 0 + -5c Remove the zero: 10b = -5c Divide each side by '10'. b = -0.5c Simplifying b = -0.5c
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