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Simplifying 2 + 3(3b + -2) = 3(2b + 3) + -1 Reorder the terms: 2 + 3(-2 + 3b) = 3(2b + 3) + -1 2 + (-2 * 3 + 3b * 3) = 3(2b + 3) + -1 2 + (-6 + 9b) = 3(2b + 3) + -1 Combine like terms: 2 + -6 = -4 -4 + 9b = 3(2b + 3) + -1 Reorder the terms: -4 + 9b = 3(3 + 2b) + -1 -4 + 9b = (3 * 3 + 2b * 3) + -1 -4 + 9b = (9 + 6b) + -1 Reorder the terms: -4 + 9b = 9 + -1 + 6b Combine like terms: 9 + -1 = 8 -4 + 9b = 8 + 6b Solving -4 + 9b = 8 + 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. -4 + 9b + -6b = 8 + 6b + -6b Combine like terms: 9b + -6b = 3b -4 + 3b = 8 + 6b + -6b Combine like terms: 6b + -6b = 0 -4 + 3b = 8 + 0 -4 + 3b = 8 Add '4' to each side of the equation. -4 + 4 + 3b = 8 + 4 Combine like terms: -4 + 4 = 0 0 + 3b = 8 + 4 3b = 8 + 4 Combine like terms: 8 + 4 = 12 3b = 12 Divide each side by '3'. b = 4 Simplifying b = 4
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