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Simplifying -5(1 + -3b) = -5(4b + 8) (1 * -5 + -3b * -5) = -5(4b + 8) (-5 + 15b) = -5(4b + 8) Reorder the terms: -5 + 15b = -5(8 + 4b) -5 + 15b = (8 * -5 + 4b * -5) -5 + 15b = (-40 + -20b) Solving -5 + 15b = -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. -5 + 15b + 20b = -40 + -20b + 20b Combine like terms: 15b + 20b = 35b -5 + 35b = -40 + -20b + 20b Combine like terms: -20b + 20b = 0 -5 + 35b = -40 + 0 -5 + 35b = -40 Add '5' to each side of the equation. -5 + 5 + 35b = -40 + 5 Combine like terms: -5 + 5 = 0 0 + 35b = -40 + 5 35b = -40 + 5 Combine like terms: -40 + 5 = -35 35b = -35 Divide each side by '35'. b = -1 Simplifying b = -1
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