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Simplifying 7b + 2 = 82 + -3b Reorder the terms: 2 + 7b = 82 + -3b Solving 2 + 7b = 82 + -3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '3b' to each side of the equation. 2 + 7b + 3b = 82 + -3b + 3b Combine like terms: 7b + 3b = 10b 2 + 10b = 82 + -3b + 3b Combine like terms: -3b + 3b = 0 2 + 10b = 82 + 0 2 + 10b = 82 Add '-2' to each side of the equation. 2 + -2 + 10b = 82 + -2 Combine like terms: 2 + -2 = 0 0 + 10b = 82 + -2 10b = 82 + -2 Combine like terms: 82 + -2 = 80 10b = 80 Divide each side by '10'. b = 8 Simplifying b = 8
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