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Simplifying 2b + 52 = 7b + 12 Reorder the terms: 52 + 2b = 7b + 12 Reorder the terms: 52 + 2b = 12 + 7b Solving 52 + 2b = 12 + 7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7b' to each side of the equation. 52 + 2b + -7b = 12 + 7b + -7b Combine like terms: 2b + -7b = -5b 52 + -5b = 12 + 7b + -7b Combine like terms: 7b + -7b = 0 52 + -5b = 12 + 0 52 + -5b = 12 Add '-52' to each side of the equation. 52 + -52 + -5b = 12 + -52 Combine like terms: 52 + -52 = 0 0 + -5b = 12 + -52 -5b = 12 + -52 Combine like terms: 12 + -52 = -40 -5b = -40 Divide each side by '-5'. b = 8 Simplifying b = 8
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