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Simplifying 2b + 4 + 7b = 49 + 4b Reorder the terms: 4 + 2b + 7b = 49 + 4b Combine like terms: 2b + 7b = 9b 4 + 9b = 49 + 4b Solving 4 + 9b = 49 + 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. 4 + 9b + -4b = 49 + 4b + -4b Combine like terms: 9b + -4b = 5b 4 + 5b = 49 + 4b + -4b Combine like terms: 4b + -4b = 0 4 + 5b = 49 + 0 4 + 5b = 49 Add '-4' to each side of the equation. 4 + -4 + 5b = 49 + -4 Combine like terms: 4 + -4 = 0 0 + 5b = 49 + -4 5b = 49 + -4 Combine like terms: 49 + -4 = 45 5b = 45 Divide each side by '5'. b = 9 Simplifying b = 9
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