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Simplifying -1(2b + 1) = 3 + 2b Reorder the terms: -1(1 + 2b) = 3 + 2b (1 * -1 + 2b * -1) = 3 + 2b (-1 + -2b) = 3 + 2b Solving -1 + -2b = 3 + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. -1 + -2b + -2b = 3 + 2b + -2b Combine like terms: -2b + -2b = -4b -1 + -4b = 3 + 2b + -2b Combine like terms: 2b + -2b = 0 -1 + -4b = 3 + 0 -1 + -4b = 3 Add '1' to each side of the equation. -1 + 1 + -4b = 3 + 1 Combine like terms: -1 + 1 = 0 0 + -4b = 3 + 1 -4b = 3 + 1 Combine like terms: 3 + 1 = 4 -4b = 4 Divide each side by '-4'. b = -1 Simplifying b = -1
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