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Simplifying 31 + 5b = 7(b + 3) Reorder the terms: 31 + 5b = 7(3 + b) 31 + 5b = (3 * 7 + b * 7) 31 + 5b = (21 + 7b) Solving 31 + 5b = 21 + 7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7b' to each side of the equation. 31 + 5b + -7b = 21 + 7b + -7b Combine like terms: 5b + -7b = -2b 31 + -2b = 21 + 7b + -7b Combine like terms: 7b + -7b = 0 31 + -2b = 21 + 0 31 + -2b = 21 Add '-31' to each side of the equation. 31 + -31 + -2b = 21 + -31 Combine like terms: 31 + -31 = 0 0 + -2b = 21 + -31 -2b = 21 + -31 Combine like terms: 21 + -31 = -10 -2b = -10 Divide each side by '-2'. b = 5 Simplifying b = 5
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