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Simplifying (4b + 40) + (31b + -43) = 27b + 25 Reorder the terms: (40 + 4b) + (31b + -43) = 27b + 25 Remove parenthesis around (40 + 4b) 40 + 4b + (31b + -43) = 27b + 25 Reorder the terms: 40 + 4b + (-43 + 31b) = 27b + 25 Remove parenthesis around (-43 + 31b) 40 + 4b + -43 + 31b = 27b + 25 Reorder the terms: 40 + -43 + 4b + 31b = 27b + 25 Combine like terms: 40 + -43 = -3 -3 + 4b + 31b = 27b + 25 Combine like terms: 4b + 31b = 35b -3 + 35b = 27b + 25 Reorder the terms: -3 + 35b = 25 + 27b Solving -3 + 35b = 25 + 27b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-27b' to each side of the equation. -3 + 35b + -27b = 25 + 27b + -27b Combine like terms: 35b + -27b = 8b -3 + 8b = 25 + 27b + -27b Combine like terms: 27b + -27b = 0 -3 + 8b = 25 + 0 -3 + 8b = 25 Add '3' to each side of the equation. -3 + 3 + 8b = 25 + 3 Combine like terms: -3 + 3 = 0 0 + 8b = 25 + 3 8b = 25 + 3 Combine like terms: 25 + 3 = 28 8b = 28 Divide each side by '8'. b = 3.5 Simplifying b = 3.5
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