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Simplifying -2(1 + -1b) = 5b + 2b + 8 (1 * -2 + -1b * -2) = 5b + 2b + 8 (-2 + 2b) = 5b + 2b + 8 Reorder the terms: -2 + 2b = 8 + 5b + 2b Combine like terms: 5b + 2b = 7b -2 + 2b = 8 + 7b Solving -2 + 2b = 8 + 7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7b' to each side of the equation. -2 + 2b + -7b = 8 + 7b + -7b Combine like terms: 2b + -7b = -5b -2 + -5b = 8 + 7b + -7b Combine like terms: 7b + -7b = 0 -2 + -5b = 8 + 0 -2 + -5b = 8 Add '2' to each side of the equation. -2 + 2 + -5b = 8 + 2 Combine like terms: -2 + 2 = 0 0 + -5b = 8 + 2 -5b = 8 + 2 Combine like terms: 8 + 2 = 10 -5b = 10 Divide each side by '-5'. b = -2 Simplifying b = -2
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