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Simplifying 8 + 3(4b + 1) = 23 + 8b Reorder the terms: 8 + 3(1 + 4b) = 23 + 8b 8 + (1 * 3 + 4b * 3) = 23 + 8b 8 + (3 + 12b) = 23 + 8b Combine like terms: 8 + 3 = 11 11 + 12b = 23 + 8b Solving 11 + 12b = 23 + 8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-8b' to each side of the equation. 11 + 12b + -8b = 23 + 8b + -8b Combine like terms: 12b + -8b = 4b 11 + 4b = 23 + 8b + -8b Combine like terms: 8b + -8b = 0 11 + 4b = 23 + 0 11 + 4b = 23 Add '-11' to each side of the equation. 11 + -11 + 4b = 23 + -11 Combine like terms: 11 + -11 = 0 0 + 4b = 23 + -11 4b = 23 + -11 Combine like terms: 23 + -11 = 12 4b = 12 Divide each side by '4'. b = 3 Simplifying b = 3
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