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