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Simplifying 5b + 10 = 2b + 31 Reorder the terms: 10 + 5b = 2b + 31 Reorder the terms: 10 + 5b = 31 + 2b Solving 10 + 5b = 31 + 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. 10 + 5b + -2b = 31 + 2b + -2b Combine like terms: 5b + -2b = 3b 10 + 3b = 31 + 2b + -2b Combine like terms: 2b + -2b = 0 10 + 3b = 31 + 0 10 + 3b = 31 Add '-10' to each side of the equation. 10 + -10 + 3b = 31 + -10 Combine like terms: 10 + -10 = 0 0 + 3b = 31 + -10 3b = 31 + -10 Combine like terms: 31 + -10 = 21 3b = 21 Divide each side by '3'. b = 7 Simplifying b = 7
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