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Simplifying -10 + -11(b + -11) = 12 + -8(2 + 2b) Reorder the terms: -10 + -11(-11 + b) = 12 + -8(2 + 2b) -10 + (-11 * -11 + b * -11) = 12 + -8(2 + 2b) -10 + (121 + -11b) = 12 + -8(2 + 2b) Combine like terms: -10 + 121 = 111 111 + -11b = 12 + -8(2 + 2b) 111 + -11b = 12 + (2 * -8 + 2b * -8) 111 + -11b = 12 + (-16 + -16b) Combine like terms: 12 + -16 = -4 111 + -11b = -4 + -16b Solving 111 + -11b = -4 + -16b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '16b' to each side of the equation. 111 + -11b + 16b = -4 + -16b + 16b Combine like terms: -11b + 16b = 5b 111 + 5b = -4 + -16b + 16b Combine like terms: -16b + 16b = 0 111 + 5b = -4 + 0 111 + 5b = -4 Add '-111' to each side of the equation. 111 + -111 + 5b = -4 + -111 Combine like terms: 111 + -111 = 0 0 + 5b = -4 + -111 5b = -4 + -111 Combine like terms: -4 + -111 = -115 5b = -115 Divide each side by '5'. b = -23 Simplifying b = -23
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