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Simplifying 38 = 5(2b + 3) + 3b + 1 Reorder the terms: 38 = 5(3 + 2b) + 3b + 1 38 = (3 * 5 + 2b * 5) + 3b + 1 38 = (15 + 10b) + 3b + 1 Reorder the terms: 38 = 15 + 1 + 10b + 3b Combine like terms: 15 + 1 = 16 38 = 16 + 10b + 3b Combine like terms: 10b + 3b = 13b 38 = 16 + 13b Solving 38 = 16 + 13b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-13b' to each side of the equation. 38 + -13b = 16 + 13b + -13b Combine like terms: 13b + -13b = 0 38 + -13b = 16 + 0 38 + -13b = 16 Add '-38' to each side of the equation. 38 + -38 + -13b = 16 + -38 Combine like terms: 38 + -38 = 0 0 + -13b = 16 + -38 -13b = 16 + -38 Combine like terms: 16 + -38 = -22 -13b = -22 Divide each side by '-13'. b = 1.692307692 Simplifying b = 1.692307692
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