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Simplifying 12(14b + 28) = 5b + 14 + 2b Reorder the terms: 12(28 + 14b) = 5b + 14 + 2b (28 * 12 + 14b * 12) = 5b + 14 + 2b (336 + 168b) = 5b + 14 + 2b Reorder the terms: 336 + 168b = 14 + 5b + 2b Combine like terms: 5b + 2b = 7b 336 + 168b = 14 + 7b Solving 336 + 168b = 14 + 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. 336 + 168b + -7b = 14 + 7b + -7b Combine like terms: 168b + -7b = 161b 336 + 161b = 14 + 7b + -7b Combine like terms: 7b + -7b = 0 336 + 161b = 14 + 0 336 + 161b = 14 Add '-336' to each side of the equation. 336 + -336 + 161b = 14 + -336 Combine like terms: 336 + -336 = 0 0 + 161b = 14 + -336 161b = 14 + -336 Combine like terms: 14 + -336 = -322 161b = -322 Divide each side by '161'. b = -2 Simplifying b = -2
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