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Simplifying (3b + -2)(-3) = 24 + -6b Reorder the terms: (-2 + 3b)(-3) = 24 + -6b Reorder the terms for easier multiplication: -3(-2 + 3b) = 24 + -6b (-2 * -3 + 3b * -3) = 24 + -6b (6 + -9b) = 24 + -6b Solving 6 + -9b = 24 + -6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '6b' to each side of the equation. 6 + -9b + 6b = 24 + -6b + 6b Combine like terms: -9b + 6b = -3b 6 + -3b = 24 + -6b + 6b Combine like terms: -6b + 6b = 0 6 + -3b = 24 + 0 6 + -3b = 24 Add '-6' to each side of the equation. 6 + -6 + -3b = 24 + -6 Combine like terms: 6 + -6 = 0 0 + -3b = 24 + -6 -3b = 24 + -6 Combine like terms: 24 + -6 = 18 -3b = 18 Divide each side by '-3'. b = -6 Simplifying b = -6
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