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