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Simplifying 3(3b + 6) = 2(7b + 4) Reorder the terms: 3(6 + 3b) = 2(7b + 4) (6 * 3 + 3b * 3) = 2(7b + 4) (18 + 9b) = 2(7b + 4) Reorder the terms: 18 + 9b = 2(4 + 7b) 18 + 9b = (4 * 2 + 7b * 2) 18 + 9b = (8 + 14b) Solving 18 + 9b = 8 + 14b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-14b' to each side of the equation. 18 + 9b + -14b = 8 + 14b + -14b Combine like terms: 9b + -14b = -5b 18 + -5b = 8 + 14b + -14b Combine like terms: 14b + -14b = 0 18 + -5b = 8 + 0 18 + -5b = 8 Add '-18' to each side of the equation. 18 + -18 + -5b = 8 + -18 Combine like terms: 18 + -18 = 0 0 + -5b = 8 + -18 -5b = 8 + -18 Combine like terms: 8 + -18 = -10 -5b = -10 Divide each side by '-5'. b = 2 Simplifying b = 2
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