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Simplifying -5(3b + 8) = -24 + -7b Reorder the terms: -5(8 + 3b) = -24 + -7b (8 * -5 + 3b * -5) = -24 + -7b (-40 + -15b) = -24 + -7b Solving -40 + -15b = -24 + -7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '7b' to each side of the equation. -40 + -15b + 7b = -24 + -7b + 7b Combine like terms: -15b + 7b = -8b -40 + -8b = -24 + -7b + 7b Combine like terms: -7b + 7b = 0 -40 + -8b = -24 + 0 -40 + -8b = -24 Add '40' to each side of the equation. -40 + 40 + -8b = -24 + 40 Combine like terms: -40 + 40 = 0 0 + -8b = -24 + 40 -8b = -24 + 40 Combine like terms: -24 + 40 = 16 -8b = 16 Divide each side by '-8'. b = -2 Simplifying b = -2
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