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Simplifying 11(b + -8) + -5(9b + 7) = 0 Reorder the terms: 11(-8 + b) + -5(9b + 7) = 0 (-8 * 11 + b * 11) + -5(9b + 7) = 0 (-88 + 11b) + -5(9b + 7) = 0 Reorder the terms: -88 + 11b + -5(7 + 9b) = 0 -88 + 11b + (7 * -5 + 9b * -5) = 0 -88 + 11b + (-35 + -45b) = 0 Reorder the terms: -88 + -35 + 11b + -45b = 0 Combine like terms: -88 + -35 = -123 -123 + 11b + -45b = 0 Combine like terms: 11b + -45b = -34b -123 + -34b = 0 Solving -123 + -34b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '123' to each side of the equation. -123 + 123 + -34b = 0 + 123 Combine like terms: -123 + 123 = 0 0 + -34b = 0 + 123 -34b = 0 + 123 Combine like terms: 0 + 123 = 123 -34b = 123 Divide each side by '-34'. b = -3.617647059 Simplifying b = -3.617647059
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