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Simplifying (b + 27 + 12 + 3b + 8) + 2(10 + b) = 97 Reorder the terms: (27 + 12 + 8 + b + 3b) + 2(10 + b) = 97 Combine like terms: 27 + 12 = 39 (39 + 8 + b + 3b) + 2(10 + b) = 97 Combine like terms: 39 + 8 = 47 (47 + b + 3b) + 2(10 + b) = 97 Combine like terms: b + 3b = 4b (47 + 4b) + 2(10 + b) = 97 Remove parenthesis around (47 + 4b) 47 + 4b + 2(10 + b) = 97 47 + 4b + (10 * 2 + b * 2) = 97 47 + 4b + (20 + 2b) = 97 Reorder the terms: 47 + 20 + 4b + 2b = 97 Combine like terms: 47 + 20 = 67 67 + 4b + 2b = 97 Combine like terms: 4b + 2b = 6b 67 + 6b = 97 Solving 67 + 6b = 97 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-67' to each side of the equation. 67 + -67 + 6b = 97 + -67 Combine like terms: 67 + -67 = 0 0 + 6b = 97 + -67 6b = 97 + -67 Combine like terms: 97 + -67 = 30 6b = 30 Divide each side by '6'. b = 5 Simplifying b = 5
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