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Simplifying 7b + 5 + -9b + -1c = 0 Reorder the terms: 5 + 7b + -9b + -1c = 0 Combine like terms: 7b + -9b = -2b 5 + -2b + -1c = 0 Solving 5 + -2b + -1c = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -2b + -5 + -1c = 0 + -5 Reorder the terms: 5 + -5 + -2b + -1c = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2b + -1c = 0 + -5 -2b + -1c = 0 + -5 Combine like terms: 0 + -5 = -5 -2b + -1c = -5 Add 'c' to each side of the equation. -2b + -1c + c = -5 + c Combine like terms: -1c + c = 0 -2b + 0 = -5 + c -2b = -5 + c Divide each side by '-2'. b = 2.5 + -0.5c Simplifying b = 2.5 + -0.5c
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