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Simplifying 7b + 10 = 5b + 12 Reorder the terms: 10 + 7b = 5b + 12 Reorder the terms: 10 + 7b = 12 + 5b Solving 10 + 7b = 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. 10 + 7b + -5b = 12 + 5b + -5b Combine like terms: 7b + -5b = 2b 10 + 2b = 12 + 5b + -5b Combine like terms: 5b + -5b = 0 10 + 2b = 12 + 0 10 + 2b = 12 Add '-10' to each side of the equation. 10 + -10 + 2b = 12 + -10 Combine like terms: 10 + -10 = 0 0 + 2b = 12 + -10 2b = 12 + -10 Combine like terms: 12 + -10 = 2 2b = 2 Divide each side by '2'. b = 1 Simplifying b = 1
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