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Simplifying 38 = 5(2b + -3 + 3b + 1) Reorder the terms: 38 = 5(-3 + 1 + 2b + 3b) Combine like terms: -3 + 1 = -2 38 = 5(-2 + 2b + 3b) Combine like terms: 2b + 3b = 5b 38 = 5(-2 + 5b) 38 = (-2 * 5 + 5b * 5) 38 = (-10 + 25b) Solving 38 = -10 + 25b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-25b' to each side of the equation. 38 + -25b = -10 + 25b + -25b Combine like terms: 25b + -25b = 0 38 + -25b = -10 + 0 38 + -25b = -10 Add '-38' to each side of the equation. 38 + -38 + -25b = -10 + -38 Combine like terms: 38 + -38 = 0 0 + -25b = -10 + -38 -25b = -10 + -38 Combine like terms: -10 + -38 = -48 -25b = -48 Divide each side by '-25'. b = 1.92 Simplifying b = 1.92
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