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Simplifying -8(8b + 5) = -40 + 5b Reorder the terms: -8(5 + 8b) = -40 + 5b (5 * -8 + 8b * -8) = -40 + 5b (-40 + -64b) = -40 + 5b Add '40' to each side of the equation. -40 + 40 + -64b = -40 + 40 + 5b Combine like terms: -40 + 40 = 0 0 + -64b = -40 + 40 + 5b -64b = -40 + 40 + 5b Combine like terms: -40 + 40 = 0 -64b = 0 + 5b -64b = 5b Solving -64b = 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. -64b + -5b = 5b + -5b Combine like terms: -64b + -5b = -69b -69b = 5b + -5b Combine like terms: 5b + -5b = 0 -69b = 0 Divide each side by '-69'. b = 0 Simplifying b = 0
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