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Simplifying 8b + 11 + -7b = 4 + -1(2b + 2) Reorder the terms: 11 + 8b + -7b = 4 + -1(2b + 2) Combine like terms: 8b + -7b = 1b 11 + 1b = 4 + -1(2b + 2) Reorder the terms: 11 + 1b = 4 + -1(2 + 2b) 11 + 1b = 4 + (2 * -1 + 2b * -1) 11 + 1b = 4 + (-2 + -2b) Combine like terms: 4 + -2 = 2 11 + 1b = 2 + -2b Solving 11 + 1b = 2 + -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 + 1b + 2b = 2 + -2b + 2b Combine like terms: 1b + 2b = 3b 11 + 3b = 2 + -2b + 2b Combine like terms: -2b + 2b = 0 11 + 3b = 2 + 0 11 + 3b = 2 Add '-11' to each side of the equation. 11 + -11 + 3b = 2 + -11 Combine like terms: 11 + -11 = 0 0 + 3b = 2 + -11 3b = 2 + -11 Combine like terms: 2 + -11 = -9 3b = -9 Divide each side by '3'. b = -3 Simplifying b = -3
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