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Simplifying -9n + 4 + 7b = 3b + 9 Reorder the terms: 4 + 7b + -9n = 3b + 9 Reorder the terms: 4 + 7b + -9n = 9 + 3b Solving 4 + 7b + -9n = 9 + 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. 4 + 7b + -3b + -9n = 9 + 3b + -3b Combine like terms: 7b + -3b = 4b 4 + 4b + -9n = 9 + 3b + -3b Combine like terms: 3b + -3b = 0 4 + 4b + -9n = 9 + 0 4 + 4b + -9n = 9 Add '-4' to each side of the equation. 4 + 4b + -4 + -9n = 9 + -4 Reorder the terms: 4 + -4 + 4b + -9n = 9 + -4 Combine like terms: 4 + -4 = 0 0 + 4b + -9n = 9 + -4 4b + -9n = 9 + -4 Combine like terms: 9 + -4 = 5 4b + -9n = 5 Add '9n' to each side of the equation. 4b + -9n + 9n = 5 + 9n Combine like terms: -9n + 9n = 0 4b + 0 = 5 + 9n 4b = 5 + 9n Divide each side by '4'. b = 1.25 + 2.25n Simplifying b = 1.25 + 2.25n
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