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Simplifying 8(b + c) + 2c + -3b = 0 (b * 8 + c * 8) + 2c + -3b = 0 (8b + 8c) + 2c + -3b = 0 Reorder the terms: 8b + -3b + 8c + 2c = 0 Combine like terms: 8b + -3b = 5b 5b + 8c + 2c = 0 Combine like terms: 8c + 2c = 10c 5b + 10c = 0 Solving 5b + 10c = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-10c' to each side of the equation. 5b + 10c + -10c = 0 + -10c Combine like terms: 10c + -10c = 0 5b + 0 = 0 + -10c 5b = 0 + -10c Remove the zero: 5b = -10c Divide each side by '5'. b = -2c Simplifying b = -2c
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