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Simplifying 3(3b + -2) = 2(3b + -3) Reorder the terms: 3(-2 + 3b) = 2(3b + -3) (-2 * 3 + 3b * 3) = 2(3b + -3) (-6 + 9b) = 2(3b + -3) Reorder the terms: -6 + 9b = 2(-3 + 3b) -6 + 9b = (-3 * 2 + 3b * 2) -6 + 9b = (-6 + 6b) Add '6' to each side of the equation. -6 + 6 + 9b = -6 + 6 + 6b Combine like terms: -6 + 6 = 0 0 + 9b = -6 + 6 + 6b 9b = -6 + 6 + 6b Combine like terms: -6 + 6 = 0 9b = 0 + 6b 9b = 6b Solving 9b = 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. 9b + -6b = 6b + -6b Combine like terms: 9b + -6b = 3b 3b = 6b + -6b Combine like terms: 6b + -6b = 0 3b = 0 Divide each side by '3'. b = 0 Simplifying b = 0
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