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Simplifying 2(4b + 1) = 5b + 11 Reorder the terms: 2(1 + 4b) = 5b + 11 (1 * 2 + 4b * 2) = 5b + 11 (2 + 8b) = 5b + 11 Reorder the terms: 2 + 8b = 11 + 5b Solving 2 + 8b = 11 + 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. 2 + 8b + -5b = 11 + 5b + -5b Combine like terms: 8b + -5b = 3b 2 + 3b = 11 + 5b + -5b Combine like terms: 5b + -5b = 0 2 + 3b = 11 + 0 2 + 3b = 11 Add '-2' to each side of the equation. 2 + -2 + 3b = 11 + -2 Combine like terms: 2 + -2 = 0 0 + 3b = 11 + -2 3b = 11 + -2 Combine like terms: 11 + -2 = 9 3b = 9 Divide each side by '3'. b = 3 Simplifying b = 3
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