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Simplifying 12b + 10 + 1 = 12b + 2b + 1 Reorder the terms: 10 + 1 + 12b = 12b + 2b + 1 Combine like terms: 10 + 1 = 11 11 + 12b = 12b + 2b + 1 Reorder the terms: 11 + 12b = 1 + 12b + 2b Combine like terms: 12b + 2b = 14b 11 + 12b = 1 + 14b Solving 11 + 12b = 1 + 14b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-14b' to each side of the equation. 11 + 12b + -14b = 1 + 14b + -14b Combine like terms: 12b + -14b = -2b 11 + -2b = 1 + 14b + -14b Combine like terms: 14b + -14b = 0 11 + -2b = 1 + 0 11 + -2b = 1 Add '-11' to each side of the equation. 11 + -11 + -2b = 1 + -11 Combine like terms: 11 + -11 = 0 0 + -2b = 1 + -11 -2b = 1 + -11 Combine like terms: 1 + -11 = -10 -2b = -10 Divide each side by '-2'. b = 5 Simplifying b = 5
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