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Simplifying 5b + 11 = 56 + -4b Reorder the terms: 11 + 5b = 56 + -4b Solving 11 + 5b = 56 + -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. 11 + 5b + 4b = 56 + -4b + 4b Combine like terms: 5b + 4b = 9b 11 + 9b = 56 + -4b + 4b Combine like terms: -4b + 4b = 0 11 + 9b = 56 + 0 11 + 9b = 56 Add '-11' to each side of the equation. 11 + -11 + 9b = 56 + -11 Combine like terms: 11 + -11 = 0 0 + 9b = 56 + -11 9b = 56 + -11 Combine like terms: 56 + -11 = 45 9b = 45 Divide each side by '9'. b = 5 Simplifying b = 5
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