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Simplifying 3(5b + -8) = -38 + 8b Reorder the terms: 3(-8 + 5b) = -38 + 8b (-8 * 3 + 5b * 3) = -38 + 8b (-24 + 15b) = -38 + 8b Solving -24 + 15b = -38 + 8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-8b' to each side of the equation. -24 + 15b + -8b = -38 + 8b + -8b Combine like terms: 15b + -8b = 7b -24 + 7b = -38 + 8b + -8b Combine like terms: 8b + -8b = 0 -24 + 7b = -38 + 0 -24 + 7b = -38 Add '24' to each side of the equation. -24 + 24 + 7b = -38 + 24 Combine like terms: -24 + 24 = 0 0 + 7b = -38 + 24 7b = -38 + 24 Combine like terms: -38 + 24 = -14 7b = -14 Divide each side by '7'. b = -2 Simplifying b = -2
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