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Simplifying -3(5 + -9b) = 25 + 7b (5 * -3 + -9b * -3) = 25 + 7b (-15 + 27b) = 25 + 7b Solving -15 + 27b = 25 + 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. -15 + 27b + -7b = 25 + 7b + -7b Combine like terms: 27b + -7b = 20b -15 + 20b = 25 + 7b + -7b Combine like terms: 7b + -7b = 0 -15 + 20b = 25 + 0 -15 + 20b = 25 Add '15' to each side of the equation. -15 + 15 + 20b = 25 + 15 Combine like terms: -15 + 15 = 0 0 + 20b = 25 + 15 20b = 25 + 15 Combine like terms: 25 + 15 = 40 20b = 40 Divide each side by '20'. b = 2 Simplifying b = 2
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