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Simplifying 11 + 7b = 6(1 + b) 11 + 7b = (1 * 6 + b * 6) 11 + 7b = (6 + 6b) Solving 11 + 7b = 6 + 6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6b' to each side of the equation. 11 + 7b + -6b = 6 + 6b + -6b Combine like terms: 7b + -6b = 1b 11 + 1b = 6 + 6b + -6b Combine like terms: 6b + -6b = 0 11 + 1b = 6 + 0 11 + 1b = 6 Add '-11' to each side of the equation. 11 + -11 + 1b = 6 + -11 Combine like terms: 11 + -11 = 0 0 + 1b = 6 + -11 1b = 6 + -11 Combine like terms: 6 + -11 = -5 1b = -5 Divide each side by '1'. b = -5 Simplifying b = -5
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