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Simplifying -5(5b + -5) + -1(b + 2) = -2b + -1b Reorder the terms: -5(-5 + 5b) + -1(b + 2) = -2b + -1b (-5 * -5 + 5b * -5) + -1(b + 2) = -2b + -1b (25 + -25b) + -1(b + 2) = -2b + -1b Reorder the terms: 25 + -25b + -1(2 + b) = -2b + -1b 25 + -25b + (2 * -1 + b * -1) = -2b + -1b 25 + -25b + (-2 + -1b) = -2b + -1b Reorder the terms: 25 + -2 + -25b + -1b = -2b + -1b Combine like terms: 25 + -2 = 23 23 + -25b + -1b = -2b + -1b Combine like terms: -25b + -1b = -26b 23 + -26b = -2b + -1b Combine like terms: -2b + -1b = -3b 23 + -26b = -3b Solving 23 + -26b = -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. 23 + -26b + 3b = -3b + 3b Combine like terms: -26b + 3b = -23b 23 + -23b = -3b + 3b Combine like terms: -3b + 3b = 0 23 + -23b = 0 Add '-23' to each side of the equation. 23 + -23 + -23b = 0 + -23 Combine like terms: 23 + -23 = 0 0 + -23b = 0 + -23 -23b = 0 + -23 Combine like terms: 0 + -23 = -23 -23b = -23 Divide each side by '-23'. b = 1 Simplifying b = 1
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