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Simplifying 2 + -6c + 9b + 2c + -11b + 8 = 0 Reorder the terms: 2 + 8 + 9b + -11b + -6c + 2c = 0 Combine like terms: 2 + 8 = 10 10 + 9b + -11b + -6c + 2c = 0 Combine like terms: 9b + -11b = -2b 10 + -2b + -6c + 2c = 0 Combine like terms: -6c + 2c = -4c 10 + -2b + -4c = 0 Solving 10 + -2b + -4c = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -2b + -10 + -4c = 0 + -10 Reorder the terms: 10 + -10 + -2b + -4c = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -2b + -4c = 0 + -10 -2b + -4c = 0 + -10 Combine like terms: 0 + -10 = -10 -2b + -4c = -10 Add '4c' to each side of the equation. -2b + -4c + 4c = -10 + 4c Combine like terms: -4c + 4c = 0 -2b + 0 = -10 + 4c -2b = -10 + 4c Divide each side by '-2'. b = 5 + -2c Simplifying b = 5 + -2c
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