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Simplifying 3(2x + b) = ax + b Reorder the terms: 3(b + 2x) = ax + b (b * 3 + 2x * 3) = ax + b (3b + 6x) = ax + b Solving 3b + 6x = ax + 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. 3b + -1b + 6x = ax + b + -1b Combine like terms: 3b + -1b = 2b 2b + 6x = ax + b + -1b Combine like terms: b + -1b = 0 2b + 6x = ax + 0 2b + 6x = ax Add '-6x' to each side of the equation. 2b + 6x + -6x = ax + -6x Combine like terms: 6x + -6x = 0 2b + 0 = ax + -6x 2b = ax + -6x Divide each side by '2'. b = 0.5ax + -3x Simplifying b = 0.5ax + -3x
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