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Simplifying 29(b + 1) + -5 = -2b + -23b Reorder the terms: 29(1 + b) + -5 = -2b + -23b (1 * 29 + b * 29) + -5 = -2b + -23b (29 + 29b) + -5 = -2b + -23b Reorder the terms: 29 + -5 + 29b = -2b + -23b Combine like terms: 29 + -5 = 24 24 + 29b = -2b + -23b Combine like terms: -2b + -23b = -25b 24 + 29b = -25b Solving 24 + 29b = -25b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '25b' to each side of the equation. 24 + 29b + 25b = -25b + 25b Combine like terms: 29b + 25b = 54b 24 + 54b = -25b + 25b Combine like terms: -25b + 25b = 0 24 + 54b = 0 Add '-24' to each side of the equation. 24 + -24 + 54b = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 54b = 0 + -24 54b = 0 + -24 Combine like terms: 0 + -24 = -24 54b = -24 Divide each side by '54'. b = -0.4444444444 Simplifying b = -0.4444444444
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