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Simplifying -1(4b + 5) + 5(5b + 2) = 47 Reorder the terms: -1(5 + 4b) + 5(5b + 2) = 47 (5 * -1 + 4b * -1) + 5(5b + 2) = 47 (-5 + -4b) + 5(5b + 2) = 47 Reorder the terms: -5 + -4b + 5(2 + 5b) = 47 -5 + -4b + (2 * 5 + 5b * 5) = 47 -5 + -4b + (10 + 25b) = 47 Reorder the terms: -5 + 10 + -4b + 25b = 47 Combine like terms: -5 + 10 = 5 5 + -4b + 25b = 47 Combine like terms: -4b + 25b = 21b 5 + 21b = 47 Solving 5 + 21b = 47 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 21b = 47 + -5 Combine like terms: 5 + -5 = 0 0 + 21b = 47 + -5 21b = 47 + -5 Combine like terms: 47 + -5 = 42 21b = 42 Divide each side by '21'. b = 2 Simplifying b = 2
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