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Simplifying 4(b + 11) = 4(3 + 2b) Reorder the terms: 4(11 + b) = 4(3 + 2b) (11 * 4 + b * 4) = 4(3 + 2b) (44 + 4b) = 4(3 + 2b) 44 + 4b = (3 * 4 + 2b * 4) 44 + 4b = (12 + 8b) Solving 44 + 4b = 12 + 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. 44 + 4b + -8b = 12 + 8b + -8b Combine like terms: 4b + -8b = -4b 44 + -4b = 12 + 8b + -8b Combine like terms: 8b + -8b = 0 44 + -4b = 12 + 0 44 + -4b = 12 Add '-44' to each side of the equation. 44 + -44 + -4b = 12 + -44 Combine like terms: 44 + -44 = 0 0 + -4b = 12 + -44 -4b = 12 + -44 Combine like terms: 12 + -44 = -32 -4b = -32 Divide each side by '-4'. b = 8 Simplifying b = 8
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