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Simplifying 1 + 2b = 12 + 1 + -5b + 2 Reorder the terms: 1 + 2b = 12 + 1 + 2 + -5b Combine like terms: 12 + 1 = 13 1 + 2b = 13 + 2 + -5b Combine like terms: 13 + 2 = 15 1 + 2b = 15 + -5b Solving 1 + 2b = 15 + -5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '5b' to each side of the equation. 1 + 2b + 5b = 15 + -5b + 5b Combine like terms: 2b + 5b = 7b 1 + 7b = 15 + -5b + 5b Combine like terms: -5b + 5b = 0 1 + 7b = 15 + 0 1 + 7b = 15 Add '-1' to each side of the equation. 1 + -1 + 7b = 15 + -1 Combine like terms: 1 + -1 = 0 0 + 7b = 15 + -1 7b = 15 + -1 Combine like terms: 15 + -1 = 14 7b = 14 Divide each side by '7'. b = 2 Simplifying b = 2
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