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Simplifying 2b + (3b + -2) + (b + 7) = 65 Reorder the terms: 2b + (-2 + 3b) + (b + 7) = 65 Remove parenthesis around (-2 + 3b) 2b + -2 + 3b + (b + 7) = 65 Reorder the terms: 2b + -2 + 3b + (7 + b) = 65 Remove parenthesis around (7 + b) 2b + -2 + 3b + 7 + b = 65 Reorder the terms: -2 + 7 + 2b + 3b + b = 65 Combine like terms: -2 + 7 = 5 5 + 2b + 3b + b = 65 Combine like terms: 2b + 3b = 5b 5 + 5b + b = 65 Combine like terms: 5b + b = 6b 5 + 6b = 65 Solving 5 + 6b = 65 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 6b = 65 + -5 Combine like terms: 5 + -5 = 0 0 + 6b = 65 + -5 6b = 65 + -5 Combine like terms: 65 + -5 = 60 6b = 60 Divide each side by '6'. b = 10 Simplifying b = 10
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