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Simplifying 10b + -2b + 3 = 5b + 21 Reorder the terms: 3 + 10b + -2b = 5b + 21 Combine like terms: 10b + -2b = 8b 3 + 8b = 5b + 21 Reorder the terms: 3 + 8b = 21 + 5b Solving 3 + 8b = 21 + 5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5b' to each side of the equation. 3 + 8b + -5b = 21 + 5b + -5b Combine like terms: 8b + -5b = 3b 3 + 3b = 21 + 5b + -5b Combine like terms: 5b + -5b = 0 3 + 3b = 21 + 0 3 + 3b = 21 Add '-3' to each side of the equation. 3 + -3 + 3b = 21 + -3 Combine like terms: 3 + -3 = 0 0 + 3b = 21 + -3 3b = 21 + -3 Combine like terms: 21 + -3 = 18 3b = 18 Divide each side by '3'. b = 6 Simplifying b = 6
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