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