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Simplifying 5(-4 + -5b) = 3b + 24 (-4 * 5 + -5b * 5) = 3b + 24 (-20 + -25b) = 3b + 24 Reorder the terms: -20 + -25b = 24 + 3b Solving -20 + -25b = 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 + -25b + -3b = 24 + 3b + -3b Combine like terms: -25b + -3b = -28b -20 + -28b = 24 + 3b + -3b Combine like terms: 3b + -3b = 0 -20 + -28b = 24 + 0 -20 + -28b = 24 Add '20' to each side of the equation. -20 + 20 + -28b = 24 + 20 Combine like terms: -20 + 20 = 0 0 + -28b = 24 + 20 -28b = 24 + 20 Combine like terms: 24 + 20 = 44 -28b = 44 Divide each side by '-28'. b = -1.571428571 Simplifying b = -1.571428571
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