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Simplifying -100 = -5(4b + 8) Reorder the terms: -100 = -5(8 + 4b) -100 = (8 * -5 + 4b * -5) -100 = (-40 + -20b) Solving -100 = -40 + -20b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '20b' to each side of the equation. -100 + 20b = -40 + -20b + 20b Combine like terms: -20b + 20b = 0 -100 + 20b = -40 + 0 -100 + 20b = -40 Add '100' to each side of the equation. -100 + 100 + 20b = -40 + 100 Combine like terms: -100 + 100 = 0 0 + 20b = -40 + 100 20b = -40 + 100 Combine like terms: -40 + 100 = 60 20b = 60 Divide each side by '20'. b = 3 Simplifying b = 3
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