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Simplifying -2(1 + -5b) = 6(b + -5) + 2b (1 * -2 + -5b * -2) = 6(b + -5) + 2b (-2 + 10b) = 6(b + -5) + 2b Reorder the terms: -2 + 10b = 6(-5 + b) + 2b -2 + 10b = (-5 * 6 + b * 6) + 2b -2 + 10b = (-30 + 6b) + 2b Combine like terms: 6b + 2b = 8b -2 + 10b = -30 + 8b Solving -2 + 10b = -30 + 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. -2 + 10b + -8b = -30 + 8b + -8b Combine like terms: 10b + -8b = 2b -2 + 2b = -30 + 8b + -8b Combine like terms: 8b + -8b = 0 -2 + 2b = -30 + 0 -2 + 2b = -30 Add '2' to each side of the equation. -2 + 2 + 2b = -30 + 2 Combine like terms: -2 + 2 = 0 0 + 2b = -30 + 2 2b = -30 + 2 Combine like terms: -30 + 2 = -28 2b = -28 Divide each side by '2'. b = -14 Simplifying b = -14
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