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Simplifying 2b + 3 = 5b + 12 Reorder the terms: 3 + 2b = 5b + 12 Reorder the terms: 3 + 2b = 12 + 5b Solving 3 + 2b = 12 + 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. 3 + 2b + -5b = 12 + 5b + -5b Combine like terms: 2b + -5b = -3b 3 + -3b = 12 + 5b + -5b Combine like terms: 5b + -5b = 0 3 + -3b = 12 + 0 3 + -3b = 12 Add '-3' to each side of the equation. 3 + -3 + -3b = 12 + -3 Combine like terms: 3 + -3 = 0 0 + -3b = 12 + -3 -3b = 12 + -3 Combine like terms: 12 + -3 = 9 -3b = 9 Divide each side by '-3'. b = -3 Simplifying b = -3
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