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Simplifying 38 = 2(2b + -3) + 3b + 1 Reorder the terms: 38 = 2(-3 + 2b) + 3b + 1 38 = (-3 * 2 + 2b * 2) + 3b + 1 38 = (-6 + 4b) + 3b + 1 Reorder the terms: 38 = -6 + 1 + 4b + 3b Combine like terms: -6 + 1 = -5 38 = -5 + 4b + 3b Combine like terms: 4b + 3b = 7b 38 = -5 + 7b Solving 38 = -5 + 7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7b' to each side of the equation. 38 + -7b = -5 + 7b + -7b Combine like terms: 7b + -7b = 0 38 + -7b = -5 + 0 38 + -7b = -5 Add '-38' to each side of the equation. 38 + -38 + -7b = -5 + -38 Combine like terms: 38 + -38 = 0 0 + -7b = -5 + -38 -7b = -5 + -38 Combine like terms: -5 + -38 = -43 -7b = -43 Divide each side by '-7'. b = 6.142857143 Simplifying b = 6.142857143
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