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Simplifying 13b + 4 = 9b + 52 Reorder the terms: 4 + 13b = 9b + 52 Reorder the terms: 4 + 13b = 52 + 9b Solving 4 + 13b = 52 + 9b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-9b' to each side of the equation. 4 + 13b + -9b = 52 + 9b + -9b Combine like terms: 13b + -9b = 4b 4 + 4b = 52 + 9b + -9b Combine like terms: 9b + -9b = 0 4 + 4b = 52 + 0 4 + 4b = 52 Add '-4' to each side of the equation. 4 + -4 + 4b = 52 + -4 Combine like terms: 4 + -4 = 0 0 + 4b = 52 + -4 4b = 52 + -4 Combine like terms: 52 + -4 = 48 4b = 48 Divide each side by '4'. b = 12 Simplifying b = 12
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