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Simplifying 12b + 1 = 2b + 21 Reorder the terms: 1 + 12b = 2b + 21 Reorder the terms: 1 + 12b = 21 + 2b Solving 1 + 12b = 21 + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. 1 + 12b + -2b = 21 + 2b + -2b Combine like terms: 12b + -2b = 10b 1 + 10b = 21 + 2b + -2b Combine like terms: 2b + -2b = 0 1 + 10b = 21 + 0 1 + 10b = 21 Add '-1' to each side of the equation. 1 + -1 + 10b = 21 + -1 Combine like terms: 1 + -1 = 0 0 + 10b = 21 + -1 10b = 21 + -1 Combine like terms: 21 + -1 = 20 10b = 20 Divide each side by '10'. b = 2 Simplifying b = 2
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