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Simplifying 8b + 3(b + 1) = 39 + 5b Reorder the terms: 8b + 3(1 + b) = 39 + 5b 8b + (1 * 3 + b * 3) = 39 + 5b 8b + (3 + 3b) = 39 + 5b Reorder the terms: 3 + 8b + 3b = 39 + 5b Combine like terms: 8b + 3b = 11b 3 + 11b = 39 + 5b Solving 3 + 11b = 39 + 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. 3 + 11b + -5b = 39 + 5b + -5b Combine like terms: 11b + -5b = 6b 3 + 6b = 39 + 5b + -5b Combine like terms: 5b + -5b = 0 3 + 6b = 39 + 0 3 + 6b = 39 Add '-3' to each side of the equation. 3 + -3 + 6b = 39 + -3 Combine like terms: 3 + -3 = 0 0 + 6b = 39 + -3 6b = 39 + -3 Combine like terms: 39 + -3 = 36 6b = 36 Divide each side by '6'. b = 6 Simplifying b = 6
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