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Simplifying 11b + 14c + -5b + 3c + 23 = 0 Reorder the terms: 23 + 11b + -5b + 14c + 3c = 0 Combine like terms: 11b + -5b = 6b 23 + 6b + 14c + 3c = 0 Combine like terms: 14c + 3c = 17c 23 + 6b + 17c = 0 Solving 23 + 6b + 17c = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + 6b + -23 + 17c = 0 + -23 Reorder the terms: 23 + -23 + 6b + 17c = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 6b + 17c = 0 + -23 6b + 17c = 0 + -23 Combine like terms: 0 + -23 = -23 6b + 17c = -23 Add '-17c' to each side of the equation. 6b + 17c + -17c = -23 + -17c Combine like terms: 17c + -17c = 0 6b + 0 = -23 + -17c 6b = -23 + -17c Divide each side by '6'. b = -3.833333333 + -2.833333333c Simplifying b = -3.833333333 + -2.833333333c
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