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Simplifying -3(1 + -3b) = -38 + 2b (1 * -3 + -3b * -3) = -38 + 2b (-3 + 9b) = -38 + 2b Solving -3 + 9b = -38 + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. -3 + 9b + -2b = -38 + 2b + -2b Combine like terms: 9b + -2b = 7b -3 + 7b = -38 + 2b + -2b Combine like terms: 2b + -2b = 0 -3 + 7b = -38 + 0 -3 + 7b = -38 Add '3' to each side of the equation. -3 + 3 + 7b = -38 + 3 Combine like terms: -3 + 3 = 0 0 + 7b = -38 + 3 7b = -38 + 3 Combine like terms: -38 + 3 = -35 7b = -35 Divide each side by '7'. b = -5 Simplifying b = -5
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