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Simplifying 5b + 7 = 13 + 3b Reorder the terms: 7 + 5b = 13 + 3b Solving 7 + 5b = 13 + 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. 7 + 5b + -3b = 13 + 3b + -3b Combine like terms: 5b + -3b = 2b 7 + 2b = 13 + 3b + -3b Combine like terms: 3b + -3b = 0 7 + 2b = 13 + 0 7 + 2b = 13 Add '-7' to each side of the equation. 7 + -7 + 2b = 13 + -7 Combine like terms: 7 + -7 = 0 0 + 2b = 13 + -7 2b = 13 + -7 Combine like terms: 13 + -7 = 6 2b = 6 Divide each side by '2'. b = 3 Simplifying b = 3
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