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Simplifying 4b + 9 = 2b + 16 Reorder the terms: 9 + 4b = 2b + 16 Reorder the terms: 9 + 4b = 16 + 2b Solving 9 + 4b = 16 + 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. 9 + 4b + -2b = 16 + 2b + -2b Combine like terms: 4b + -2b = 2b 9 + 2b = 16 + 2b + -2b Combine like terms: 2b + -2b = 0 9 + 2b = 16 + 0 9 + 2b = 16 Add '-9' to each side of the equation. 9 + -9 + 2b = 16 + -9 Combine like terms: 9 + -9 = 0 0 + 2b = 16 + -9 2b = 16 + -9 Combine like terms: 16 + -9 = 7 2b = 7 Divide each side by '2'. b = 3.5 Simplifying b = 3.5
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