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Simplifying 5b + 21 = 2b + 9 Reorder the terms: 21 + 5b = 2b + 9 Reorder the terms: 21 + 5b = 9 + 2b Solving 21 + 5b = 9 + 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. 21 + 5b + -2b = 9 + 2b + -2b Combine like terms: 5b + -2b = 3b 21 + 3b = 9 + 2b + -2b Combine like terms: 2b + -2b = 0 21 + 3b = 9 + 0 21 + 3b = 9 Add '-21' to each side of the equation. 21 + -21 + 3b = 9 + -21 Combine like terms: 21 + -21 = 0 0 + 3b = 9 + -21 3b = 9 + -21 Combine like terms: 9 + -21 = -12 3b = -12 Divide each side by '3'. b = -4 Simplifying b = -4
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