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Simplifying 5(9b + -4) = 25 + 3b Reorder the terms: 5(-4 + 9b) = 25 + 3b (-4 * 5 + 9b * 5) = 25 + 3b (-20 + 45b) = 25 + 3b Solving -20 + 45b = 25 + 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 + 45b + -3b = 25 + 3b + -3b Combine like terms: 45b + -3b = 42b -20 + 42b = 25 + 3b + -3b Combine like terms: 3b + -3b = 0 -20 + 42b = 25 + 0 -20 + 42b = 25 Add '20' to each side of the equation. -20 + 20 + 42b = 25 + 20 Combine like terms: -20 + 20 = 0 0 + 42b = 25 + 20 42b = 25 + 20 Combine like terms: 25 + 20 = 45 42b = 45 Divide each side by '42'. b = 1.071428571 Simplifying b = 1.071428571
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