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Simplifying 3(9b + -3) = 3(5b + 5) Reorder the terms: 3(-3 + 9b) = 3(5b + 5) (-3 * 3 + 9b * 3) = 3(5b + 5) (-9 + 27b) = 3(5b + 5) Reorder the terms: -9 + 27b = 3(5 + 5b) -9 + 27b = (5 * 3 + 5b * 3) -9 + 27b = (15 + 15b) Solving -9 + 27b = 15 + 15b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-15b' to each side of the equation. -9 + 27b + -15b = 15 + 15b + -15b Combine like terms: 27b + -15b = 12b -9 + 12b = 15 + 15b + -15b Combine like terms: 15b + -15b = 0 -9 + 12b = 15 + 0 -9 + 12b = 15 Add '9' to each side of the equation. -9 + 9 + 12b = 15 + 9 Combine like terms: -9 + 9 = 0 0 + 12b = 15 + 9 12b = 15 + 9 Combine like terms: 15 + 9 = 24 12b = 24 Divide each side by '12'. b = 2 Simplifying b = 2
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