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Simplifying 2b + 4(b + -1) = 5(b + -1) Reorder the terms: 2b + 4(-1 + b) = 5(b + -1) 2b + (-1 * 4 + b * 4) = 5(b + -1) 2b + (-4 + 4b) = 5(b + -1) Reorder the terms: -4 + 2b + 4b = 5(b + -1) Combine like terms: 2b + 4b = 6b -4 + 6b = 5(b + -1) Reorder the terms: -4 + 6b = 5(-1 + b) -4 + 6b = (-1 * 5 + b * 5) -4 + 6b = (-5 + 5b) Solving -4 + 6b = -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. -4 + 6b + -5b = -5 + 5b + -5b Combine like terms: 6b + -5b = 1b -4 + 1b = -5 + 5b + -5b Combine like terms: 5b + -5b = 0 -4 + 1b = -5 + 0 -4 + 1b = -5 Add '4' to each side of the equation. -4 + 4 + 1b = -5 + 4 Combine like terms: -4 + 4 = 0 0 + 1b = -5 + 4 1b = -5 + 4 Combine like terms: -5 + 4 = -1 1b = -1 Divide each side by '1'. b = -1 Simplifying b = -1
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