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Simplifying -7b + -5(8b + 4) = 24 + -3b Reorder the terms: -7b + -5(4 + 8b) = 24 + -3b -7b + (4 * -5 + 8b * -5) = 24 + -3b -7b + (-20 + -40b) = 24 + -3b Reorder the terms: -20 + -7b + -40b = 24 + -3b Combine like terms: -7b + -40b = -47b -20 + -47b = 24 + -3b Solving -20 + -47b = 24 + -3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '3b' to each side of the equation. -20 + -47b + 3b = 24 + -3b + 3b Combine like terms: -47b + 3b = -44b -20 + -44b = 24 + -3b + 3b Combine like terms: -3b + 3b = 0 -20 + -44b = 24 + 0 -20 + -44b = 24 Add '20' to each side of the equation. -20 + 20 + -44b = 24 + 20 Combine like terms: -20 + 20 = 0 0 + -44b = 24 + 20 -44b = 24 + 20 Combine like terms: 24 + 20 = 44 -44b = 44 Divide each side by '-44'. b = -1 Simplifying b = -1
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