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Simplifying 38 = 5(2b + -3) + b + 1 Reorder the terms: 38 = 5(-3 + 2b) + b + 1 38 = (-3 * 5 + 2b * 5) + b + 1 38 = (-15 + 10b) + b + 1 Reorder the terms: 38 = -15 + 1 + 10b + b Combine like terms: -15 + 1 = -14 38 = -14 + 10b + b Combine like terms: 10b + b = 11b 38 = -14 + 11b Solving 38 = -14 + 11b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-11b' to each side of the equation. 38 + -11b = -14 + 11b + -11b Combine like terms: 11b + -11b = 0 38 + -11b = -14 + 0 38 + -11b = -14 Add '-38' to each side of the equation. 38 + -38 + -11b = -14 + -38 Combine like terms: 38 + -38 = 0 0 + -11b = -14 + -38 -11b = -14 + -38 Combine like terms: -14 + -38 = -52 -11b = -52 Divide each side by '-11'. b = 4.727272727 Simplifying b = 4.727272727
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