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Simplifying (2b + 5) = (3b + 1) Reorder the terms: (5 + 2b) = (3b + 1) Remove parenthesis around (5 + 2b) 5 + 2b = (3b + 1) Reorder the terms: 5 + 2b = (1 + 3b) Remove parenthesis around (1 + 3b) 5 + 2b = 1 + 3b Solving 5 + 2b = 1 + 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 + 2b + -3b = 1 + 3b + -3b Combine like terms: 2b + -3b = -1b 5 + -1b = 1 + 3b + -3b Combine like terms: 3b + -3b = 0 5 + -1b = 1 + 0 5 + -1b = 1 Add '-5' to each side of the equation. 5 + -5 + -1b = 1 + -5 Combine like terms: 5 + -5 = 0 0 + -1b = 1 + -5 -1b = 1 + -5 Combine like terms: 1 + -5 = -4 -1b = -4 Divide each side by '-1'. b = 4 Simplifying b = 4
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