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Simplifying -2(3 + -5b) = -38 + 6b (3 * -2 + -5b * -2) = -38 + 6b (-6 + 10b) = -38 + 6b Solving -6 + 10b = -38 + 6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6b' to each side of the equation. -6 + 10b + -6b = -38 + 6b + -6b Combine like terms: 10b + -6b = 4b -6 + 4b = -38 + 6b + -6b Combine like terms: 6b + -6b = 0 -6 + 4b = -38 + 0 -6 + 4b = -38 Add '6' to each side of the equation. -6 + 6 + 4b = -38 + 6 Combine like terms: -6 + 6 = 0 0 + 4b = -38 + 6 4b = -38 + 6 Combine like terms: -38 + 6 = -32 4b = -32 Divide each side by '4'. b = -8 Simplifying b = -8
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