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Simplifying 4(b + 4) = 2b + 22 Reorder the terms: 4(4 + b) = 2b + 22 (4 * 4 + b * 4) = 2b + 22 (16 + 4b) = 2b + 22 Reorder the terms: 16 + 4b = 22 + 2b Solving 16 + 4b = 22 + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. 16 + 4b + -2b = 22 + 2b + -2b Combine like terms: 4b + -2b = 2b 16 + 2b = 22 + 2b + -2b Combine like terms: 2b + -2b = 0 16 + 2b = 22 + 0 16 + 2b = 22 Add '-16' to each side of the equation. 16 + -16 + 2b = 22 + -16 Combine like terms: 16 + -16 = 0 0 + 2b = 22 + -16 2b = 22 + -16 Combine like terms: 22 + -16 = 6 2b = 6 Divide each side by '2'. b = 3 Simplifying b = 3
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