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Simplifying 4(2b + 1) = 13 + 2b Reorder the terms: 4(1 + 2b) = 13 + 2b (1 * 4 + 2b * 4) = 13 + 2b (4 + 8b) = 13 + 2b Solving 4 + 8b = 13 + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. 4 + 8b + -2b = 13 + 2b + -2b Combine like terms: 8b + -2b = 6b 4 + 6b = 13 + 2b + -2b Combine like terms: 2b + -2b = 0 4 + 6b = 13 + 0 4 + 6b = 13 Add '-4' to each side of the equation. 4 + -4 + 6b = 13 + -4 Combine like terms: 4 + -4 = 0 0 + 6b = 13 + -4 6b = 13 + -4 Combine like terms: 13 + -4 = 9 6b = 9 Divide each side by '6'. b = 1.5 Simplifying b = 1.5
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