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Simplifying 6b + 11 = 74 + -1b Reorder the terms: 11 + 6b = 74 + -1b Solving 11 + 6b = 74 + -1b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add 'b' to each side of the equation. 11 + 6b + b = 74 + -1b + b Combine like terms: 6b + b = 7b 11 + 7b = 74 + -1b + b Combine like terms: -1b + b = 0 11 + 7b = 74 + 0 11 + 7b = 74 Add '-11' to each side of the equation. 11 + -11 + 7b = 74 + -11 Combine like terms: 11 + -11 = 0 0 + 7b = 74 + -11 7b = 74 + -11 Combine like terms: 74 + -11 = 63 7b = 63 Divide each side by '7'. b = 9 Simplifying b = 9
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