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