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