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Simplifying 3(b + 4) + 8 = b Reorder the terms: 3(4 + b) + 8 = b (4 * 3 + b * 3) + 8 = b (12 + 3b) + 8 = b Reorder the terms: 12 + 8 + 3b = b Combine like terms: 12 + 8 = 20 20 + 3b = b Solving 20 + 3b = b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1b' to each side of the equation. 20 + 3b + -1b = b + -1b Combine like terms: 3b + -1b = 2b 20 + 2b = b + -1b Combine like terms: b + -1b = 0 20 + 2b = 0 Add '-20' to each side of the equation. 20 + -20 + 2b = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 2b = 0 + -20 2b = 0 + -20 Combine like terms: 0 + -20 = -20 2b = -20 Divide each side by '2'. b = -10 Simplifying b = -10
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