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Simplifying 9b + 5b + 17 = 3 + 4b + 4 Reorder the terms: 17 + 9b + 5b = 3 + 4b + 4 Combine like terms: 9b + 5b = 14b 17 + 14b = 3 + 4b + 4 Reorder the terms: 17 + 14b = 3 + 4 + 4b Combine like terms: 3 + 4 = 7 17 + 14b = 7 + 4b Solving 17 + 14b = 7 + 4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4b' to each side of the equation. 17 + 14b + -4b = 7 + 4b + -4b Combine like terms: 14b + -4b = 10b 17 + 10b = 7 + 4b + -4b Combine like terms: 4b + -4b = 0 17 + 10b = 7 + 0 17 + 10b = 7 Add '-17' to each side of the equation. 17 + -17 + 10b = 7 + -17 Combine like terms: 17 + -17 = 0 0 + 10b = 7 + -17 10b = 7 + -17 Combine like terms: 7 + -17 = -10 10b = -10 Divide each side by '10'. b = -1 Simplifying b = -1
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