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Simplifying 2(b + c) + (b + c) + 5b = 0 (b * 2 + c * 2) + (b + c) + 5b = 0 (2b + 2c) + (b + c) + 5b = 0 Remove parenthesis around (b + c) 2b + 2c + b + c + 5b = 0 Reorder the terms: 2b + b + 5b + 2c + c = 0 Combine like terms: 2b + b = 3b 3b + 5b + 2c + c = 0 Combine like terms: 3b + 5b = 8b 8b + 2c + c = 0 Combine like terms: 2c + c = 3c 8b + 3c = 0 Solving 8b + 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. 8b + 3c + -3c = 0 + -3c Combine like terms: 3c + -3c = 0 8b + 0 = 0 + -3c 8b = 0 + -3c Remove the zero: 8b = -3c Divide each side by '8'. b = -0.375c Simplifying b = -0.375c
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