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Simplifying 3b + 5 = 2b + 12 Reorder the terms: 5 + 3b = 2b + 12 Reorder the terms: 5 + 3b = 12 + 2b Solving 5 + 3b = 12 + 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. 5 + 3b + -2b = 12 + 2b + -2b Combine like terms: 3b + -2b = 1b 5 + 1b = 12 + 2b + -2b Combine like terms: 2b + -2b = 0 5 + 1b = 12 + 0 5 + 1b = 12 Add '-5' to each side of the equation. 5 + -5 + 1b = 12 + -5 Combine like terms: 5 + -5 = 0 0 + 1b = 12 + -5 1b = 12 + -5 Combine like terms: 12 + -5 = 7 1b = 7 Divide each side by '1'. b = 7 Simplifying b = 7
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