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Simplifying 7 + -8(-2 + 5b) = -11(4b + 1) 7 + (-2 * -8 + 5b * -8) = -11(4b + 1) 7 + (16 + -40b) = -11(4b + 1) Combine like terms: 7 + 16 = 23 23 + -40b = -11(4b + 1) Reorder the terms: 23 + -40b = -11(1 + 4b) 23 + -40b = (1 * -11 + 4b * -11) 23 + -40b = (-11 + -44b) Solving 23 + -40b = -11 + -44b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '44b' to each side of the equation. 23 + -40b + 44b = -11 + -44b + 44b Combine like terms: -40b + 44b = 4b 23 + 4b = -11 + -44b + 44b Combine like terms: -44b + 44b = 0 23 + 4b = -11 + 0 23 + 4b = -11 Add '-23' to each side of the equation. 23 + -23 + 4b = -11 + -23 Combine like terms: 23 + -23 = 0 0 + 4b = -11 + -23 4b = -11 + -23 Combine like terms: -11 + -23 = -34 4b = -34 Divide each side by '4'. b = -8.5 Simplifying b = -8.5
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