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