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Simplifying 2(3b + 5) = 38 Reorder the terms: 2(5 + 3b) = 38 (5 * 2 + 3b * 2) = 38 (10 + 6b) = 38 Solving 10 + 6b = 38 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 6b = 38 + -10 Combine like terms: 10 + -10 = 0 0 + 6b = 38 + -10 6b = 38 + -10 Combine like terms: 38 + -10 = 28 6b = 28 Divide each side by '6'. b = 4.666666667 Simplifying b = 4.666666667
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