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Simplifying 4b + 13 + 2b = 16 + 3b + 9 Reorder the terms: 13 + 4b + 2b = 16 + 3b + 9 Combine like terms: 4b + 2b = 6b 13 + 6b = 16 + 3b + 9 Reorder the terms: 13 + 6b = 16 + 9 + 3b Combine like terms: 16 + 9 = 25 13 + 6b = 25 + 3b Solving 13 + 6b = 25 + 3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. 13 + 6b + -3b = 25 + 3b + -3b Combine like terms: 6b + -3b = 3b 13 + 3b = 25 + 3b + -3b Combine like terms: 3b + -3b = 0 13 + 3b = 25 + 0 13 + 3b = 25 Add '-13' to each side of the equation. 13 + -13 + 3b = 25 + -13 Combine like terms: 13 + -13 = 0 0 + 3b = 25 + -13 3b = 25 + -13 Combine like terms: 25 + -13 = 12 3b = 12 Divide each side by '3'. b = 4 Simplifying b = 4
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