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Simplifying 38 = (2b + -3) + 3b + 1 Reorder the terms: 38 = (-3 + 2b) + 3b + 1 Remove parenthesis around (-3 + 2b) 38 = -3 + 2b + 3b + 1 Reorder the terms: 38 = -3 + 1 + 2b + 3b Combine like terms: -3 + 1 = -2 38 = -2 + 2b + 3b Combine like terms: 2b + 3b = 5b 38 = -2 + 5b Solving 38 = -2 + 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. 38 + -5b = -2 + 5b + -5b Combine like terms: 5b + -5b = 0 38 + -5b = -2 + 0 38 + -5b = -2 Add '-38' to each side of the equation. 38 + -38 + -5b = -2 + -38 Combine like terms: 38 + -38 = 0 0 + -5b = -2 + -38 -5b = -2 + -38 Combine like terms: -2 + -38 = -40 -5b = -40 Divide each side by '-5'. b = 8 Simplifying b = 8
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