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Simplifying 3(2b + 6) = 4b Reorder the terms: 3(6 + 2b) = 4b (6 * 3 + 2b * 3) = 4b (18 + 6b) = 4b Solving 18 + 6b = 4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4b' to each side of the equation. 18 + 6b + -4b = 4b + -4b Combine like terms: 6b + -4b = 2b 18 + 2b = 4b + -4b Combine like terms: 4b + -4b = 0 18 + 2b = 0 Add '-18' to each side of the equation. 18 + -18 + 2b = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 2b = 0 + -18 2b = 0 + -18 Combine like terms: 0 + -18 = -18 2b = -18 Divide each side by '2'. b = -9 Simplifying b = -9
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