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Simplifying -1(b + 2) = -23 + 2b Reorder the terms: -1(2 + b) = -23 + 2b (2 * -1 + b * -1) = -23 + 2b (-2 + -1b) = -23 + 2b Solving -2 + -1b = -23 + 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. -2 + -1b + -2b = -23 + 2b + -2b Combine like terms: -1b + -2b = -3b -2 + -3b = -23 + 2b + -2b Combine like terms: 2b + -2b = 0 -2 + -3b = -23 + 0 -2 + -3b = -23 Add '2' to each side of the equation. -2 + 2 + -3b = -23 + 2 Combine like terms: -2 + 2 = 0 0 + -3b = -23 + 2 -3b = -23 + 2 Combine like terms: -23 + 2 = -21 -3b = -21 Divide each side by '-3'. b = 7 Simplifying b = 7
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