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Simplifying -4(1 + b) = 5(-8 + b) (1 * -4 + b * -4) = 5(-8 + b) (-4 + -4b) = 5(-8 + b) -4 + -4b = (-8 * 5 + b * 5) -4 + -4b = (-40 + 5b) Solving -4 + -4b = -40 + 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 + -4b + -5b = -40 + 5b + -5b Combine like terms: -4b + -5b = -9b -4 + -9b = -40 + 5b + -5b Combine like terms: 5b + -5b = 0 -4 + -9b = -40 + 0 -4 + -9b = -40 Add '4' to each side of the equation. -4 + 4 + -9b = -40 + 4 Combine like terms: -4 + 4 = 0 0 + -9b = -40 + 4 -9b = -40 + 4 Combine like terms: -40 + 4 = -36 -9b = -36 Divide each side by '-9'. b = 4 Simplifying b = 4
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