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Simplifying -3(1 + -1b) = 2(b + 1) (1 * -3 + -1b * -3) = 2(b + 1) (-3 + 3b) = 2(b + 1) Reorder the terms: -3 + 3b = 2(1 + b) -3 + 3b = (1 * 2 + b * 2) -3 + 3b = (2 + 2b) Solving -3 + 3b = 2 + 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. -3 + 3b + -2b = 2 + 2b + -2b Combine like terms: 3b + -2b = 1b -3 + 1b = 2 + 2b + -2b Combine like terms: 2b + -2b = 0 -3 + 1b = 2 + 0 -3 + 1b = 2 Add '3' to each side of the equation. -3 + 3 + 1b = 2 + 3 Combine like terms: -3 + 3 = 0 0 + 1b = 2 + 3 1b = 2 + 3 Combine like terms: 2 + 3 = 5 1b = 5 Divide each side by '1'. b = 5 Simplifying b = 5
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