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Simplifying 6(8 + 5b) + b = 7(3b + 8) + 2b (8 * 6 + 5b * 6) + b = 7(3b + 8) + 2b (48 + 30b) + b = 7(3b + 8) + 2b Combine like terms: 30b + b = 31b 48 + 31b = 7(3b + 8) + 2b Reorder the terms: 48 + 31b = 7(8 + 3b) + 2b 48 + 31b = (8 * 7 + 3b * 7) + 2b 48 + 31b = (56 + 21b) + 2b Combine like terms: 21b + 2b = 23b 48 + 31b = 56 + 23b Solving 48 + 31b = 56 + 23b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-23b' to each side of the equation. 48 + 31b + -23b = 56 + 23b + -23b Combine like terms: 31b + -23b = 8b 48 + 8b = 56 + 23b + -23b Combine like terms: 23b + -23b = 0 48 + 8b = 56 + 0 48 + 8b = 56 Add '-48' to each side of the equation. 48 + -48 + 8b = 56 + -48 Combine like terms: 48 + -48 = 0 0 + 8b = 56 + -48 8b = 56 + -48 Combine like terms: 56 + -48 = 8 8b = 8 Divide each side by '8'. b = 1 Simplifying b = 1
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