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Simplifying 38 = 5(2b + -3) + 36 + 1 Reorder the terms: 38 = 5(-3 + 2b) + 36 + 1 38 = (-3 * 5 + 2b * 5) + 36 + 1 38 = (-15 + 10b) + 36 + 1 Reorder the terms: 38 = -15 + 36 + 1 + 10b Combine like terms: -15 + 36 = 21 38 = 21 + 1 + 10b Combine like terms: 21 + 1 = 22 38 = 22 + 10b Solving 38 = 22 + 10b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-10b' to each side of the equation. 38 + -10b = 22 + 10b + -10b Combine like terms: 10b + -10b = 0 38 + -10b = 22 + 0 38 + -10b = 22 Add '-38' to each side of the equation. 38 + -38 + -10b = 22 + -38 Combine like terms: 38 + -38 = 0 0 + -10b = 22 + -38 -10b = 22 + -38 Combine like terms: 22 + -38 = -16 -10b = -16 Divide each side by '-10'. b = 1.6 Simplifying b = 1.6
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