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Simplifying b + 4 = 3(3b + 2) Reorder the terms: 4 + b = 3(3b + 2) Reorder the terms: 4 + b = 3(2 + 3b) 4 + b = (2 * 3 + 3b * 3) 4 + b = (6 + 9b) Solving 4 + b = 6 + 9b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-9b' to each side of the equation. 4 + b + -9b = 6 + 9b + -9b Combine like terms: b + -9b = -8b 4 + -8b = 6 + 9b + -9b Combine like terms: 9b + -9b = 0 4 + -8b = 6 + 0 4 + -8b = 6 Add '-4' to each side of the equation. 4 + -4 + -8b = 6 + -4 Combine like terms: 4 + -4 = 0 0 + -8b = 6 + -4 -8b = 6 + -4 Combine like terms: 6 + -4 = 2 -8b = 2 Divide each side by '-8'. b = -0.25 Simplifying b = -0.25
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