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Simplifying 13b + 1 + -8 = 4b + 38 Reorder the terms: 1 + -8 + 13b = 4b + 38 Combine like terms: 1 + -8 = -7 -7 + 13b = 4b + 38 Reorder the terms: -7 + 13b = 38 + 4b Solving -7 + 13b = 38 + 4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4b' to each side of the equation. -7 + 13b + -4b = 38 + 4b + -4b Combine like terms: 13b + -4b = 9b -7 + 9b = 38 + 4b + -4b Combine like terms: 4b + -4b = 0 -7 + 9b = 38 + 0 -7 + 9b = 38 Add '7' to each side of the equation. -7 + 7 + 9b = 38 + 7 Combine like terms: -7 + 7 = 0 0 + 9b = 38 + 7 9b = 38 + 7 Combine like terms: 38 + 7 = 45 9b = 45 Divide each side by '9'. b = 5 Simplifying b = 5
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