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Simplifying 2b + -3b + 5 = -4b + b + 9 Reorder the terms: 5 + 2b + -3b = -4b + b + 9 Combine like terms: 2b + -3b = -1b 5 + -1b = -4b + b + 9 Reorder the terms: 5 + -1b = 9 + -4b + b Combine like terms: -4b + b = -3b 5 + -1b = 9 + -3b Solving 5 + -1b = 9 + -3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '3b' to each side of the equation. 5 + -1b + 3b = 9 + -3b + 3b Combine like terms: -1b + 3b = 2b 5 + 2b = 9 + -3b + 3b Combine like terms: -3b + 3b = 0 5 + 2b = 9 + 0 5 + 2b = 9 Add '-5' to each side of the equation. 5 + -5 + 2b = 9 + -5 Combine like terms: 5 + -5 = 0 0 + 2b = 9 + -5 2b = 9 + -5 Combine like terms: 9 + -5 = 4 2b = 4 Divide each side by '2'. b = 2 Simplifying b = 2
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