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Simplifying 3(3b + -4) = 2 + 7b Reorder the terms: 3(-4 + 3b) = 2 + 7b (-4 * 3 + 3b * 3) = 2 + 7b (-12 + 9b) = 2 + 7b Solving -12 + 9b = 2 + 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. -12 + 9b + -7b = 2 + 7b + -7b Combine like terms: 9b + -7b = 2b -12 + 2b = 2 + 7b + -7b Combine like terms: 7b + -7b = 0 -12 + 2b = 2 + 0 -12 + 2b = 2 Add '12' to each side of the equation. -12 + 12 + 2b = 2 + 12 Combine like terms: -12 + 12 = 0 0 + 2b = 2 + 12 2b = 2 + 12 Combine like terms: 2 + 12 = 14 2b = 14 Divide each side by '2'. b = 7 Simplifying b = 7
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