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Simplifying 2b + (b + -1) = 5(b + -1) Reorder the terms: 2b + (-1 + b) = 5(b + -1) Remove parenthesis around (-1 + b) 2b + -1 + b = 5(b + -1) Reorder the terms: -1 + 2b + b = 5(b + -1) Combine like terms: 2b + b = 3b -1 + 3b = 5(b + -1) Reorder the terms: -1 + 3b = 5(-1 + b) -1 + 3b = (-1 * 5 + b * 5) -1 + 3b = (-5 + 5b) Solving -1 + 3b = -5 + 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. -1 + 3b + -5b = -5 + 5b + -5b Combine like terms: 3b + -5b = -2b -1 + -2b = -5 + 5b + -5b Combine like terms: 5b + -5b = 0 -1 + -2b = -5 + 0 -1 + -2b = -5 Add '1' to each side of the equation. -1 + 1 + -2b = -5 + 1 Combine like terms: -1 + 1 = 0 0 + -2b = -5 + 1 -2b = -5 + 1 Combine like terms: -5 + 1 = -4 -2b = -4 Divide each side by '-2'. b = 2 Simplifying b = 2
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