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Simplifying 9 + -4b + (8 + 7b + 5c) = 0 Remove parenthesis around (8 + 7b + 5c) 9 + -4b + 8 + 7b + 5c = 0 Reorder the terms: 9 + 8 + -4b + 7b + 5c = 0 Combine like terms: 9 + 8 = 17 17 + -4b + 7b + 5c = 0 Combine like terms: -4b + 7b = 3b 17 + 3b + 5c = 0 Solving 17 + 3b + 5c = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + 3b + -17 + 5c = 0 + -17 Reorder the terms: 17 + -17 + 3b + 5c = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 3b + 5c = 0 + -17 3b + 5c = 0 + -17 Combine like terms: 0 + -17 = -17 3b + 5c = -17 Add '-5c' to each side of the equation. 3b + 5c + -5c = -17 + -5c Combine like terms: 5c + -5c = 0 3b + 0 = -17 + -5c 3b = -17 + -5c Divide each side by '3'. b = -5.666666667 + -1.666666667c Simplifying b = -5.666666667 + -1.666666667c
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