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Simplifying 256(b + 2) = 4(2 + -2b) Reorder the terms: 256(2 + b) = 4(2 + -2b) (2 * 256 + b * 256) = 4(2 + -2b) (512 + 256b) = 4(2 + -2b) 512 + 256b = (2 * 4 + -2b * 4) 512 + 256b = (8 + -8b) Solving 512 + 256b = 8 + -8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '8b' to each side of the equation. 512 + 256b + 8b = 8 + -8b + 8b Combine like terms: 256b + 8b = 264b 512 + 264b = 8 + -8b + 8b Combine like terms: -8b + 8b = 0 512 + 264b = 8 + 0 512 + 264b = 8 Add '-512' to each side of the equation. 512 + -512 + 264b = 8 + -512 Combine like terms: 512 + -512 = 0 0 + 264b = 8 + -512 264b = 8 + -512 Combine like terms: 8 + -512 = -504 264b = -504 Divide each side by '264'. b = -1.909090909 Simplifying b = -1.909090909
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