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Simplifying 2(b + 1) + -5 = -2b + -23 + -1b Reorder the terms: 2(1 + b) + -5 = -2b + -23 + -1b (1 * 2 + b * 2) + -5 = -2b + -23 + -1b (2 + 2b) + -5 = -2b + -23 + -1b Reorder the terms: 2 + -5 + 2b = -2b + -23 + -1b Combine like terms: 2 + -5 = -3 -3 + 2b = -2b + -23 + -1b Reorder the terms: -3 + 2b = -23 + -2b + -1b Combine like terms: -2b + -1b = -3b -3 + 2b = -23 + -3b Solving -3 + 2b = -23 + -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. -3 + 2b + 3b = -23 + -3b + 3b Combine like terms: 2b + 3b = 5b -3 + 5b = -23 + -3b + 3b Combine like terms: -3b + 3b = 0 -3 + 5b = -23 + 0 -3 + 5b = -23 Add '3' to each side of the equation. -3 + 3 + 5b = -23 + 3 Combine like terms: -3 + 3 = 0 0 + 5b = -23 + 3 5b = -23 + 3 Combine like terms: -23 + 3 = -20 5b = -20 Divide each side by '5'. b = -4 Simplifying b = -4
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