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Simplifying -8(7b + 5) = -40 + 8b Reorder the terms: -8(5 + 7b) = -40 + 8b (5 * -8 + 7b * -8) = -40 + 8b (-40 + -56b) = -40 + 8b Add '40' to each side of the equation. -40 + 40 + -56b = -40 + 40 + 8b Combine like terms: -40 + 40 = 0 0 + -56b = -40 + 40 + 8b -56b = -40 + 40 + 8b Combine like terms: -40 + 40 = 0 -56b = 0 + 8b -56b = 8b Solving -56b = 8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-8b' to each side of the equation. -56b + -8b = 8b + -8b Combine like terms: -56b + -8b = -64b -64b = 8b + -8b Combine like terms: 8b + -8b = 0 -64b = 0 Divide each side by '-64'. b = 0 Simplifying b = 0
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