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Simplifying 7b + 11 = 6 + -2(b + -1) Reorder the terms: 11 + 7b = 6 + -2(b + -1) Reorder the terms: 11 + 7b = 6 + -2(-1 + b) 11 + 7b = 6 + (-1 * -2 + b * -2) 11 + 7b = 6 + (2 + -2b) Combine like terms: 6 + 2 = 8 11 + 7b = 8 + -2b Solving 11 + 7b = 8 + -2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '2b' to each side of the equation. 11 + 7b + 2b = 8 + -2b + 2b Combine like terms: 7b + 2b = 9b 11 + 9b = 8 + -2b + 2b Combine like terms: -2b + 2b = 0 11 + 9b = 8 + 0 11 + 9b = 8 Add '-11' to each side of the equation. 11 + -11 + 9b = 8 + -11 Combine like terms: 11 + -11 = 0 0 + 9b = 8 + -11 9b = 8 + -11 Combine like terms: 8 + -11 = -3 9b = -3 Divide each side by '9'. b = -0.3333333333 Simplifying b = -0.3333333333
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