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