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Simplifying 49 = 5(b + -41) + 4 Reorder the terms: 49 = 5(-41 + b) + 4 49 = (-41 * 5 + b * 5) + 4 49 = (-205 + 5b) + 4 Reorder the terms: 49 = -205 + 4 + 5b Combine like terms: -205 + 4 = -201 49 = -201 + 5b Solving 49 = -201 + 5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5b' to each side of the equation. 49 + -5b = -201 + 5b + -5b Combine like terms: 5b + -5b = 0 49 + -5b = -201 + 0 49 + -5b = -201 Add '-49' to each side of the equation. 49 + -49 + -5b = -201 + -49 Combine like terms: 49 + -49 = 0 0 + -5b = -201 + -49 -5b = -201 + -49 Combine like terms: -201 + -49 = -250 -5b = -250 Divide each side by '-5'. b = 50 Simplifying b = 50
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