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Simplifying 5.5 + 6(1 + 5b) = -16.5 5.5 + (1 * 6 + 5b * 6) = -16.5 5.5 + (6 + 30b) = -16.5 Combine like terms: 5.5 + 6 = 11.5 11.5 + 30b = -16.5 Solving 11.5 + 30b = -16.5 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-11.5' to each side of the equation. 11.5 + -11.5 + 30b = -16.5 + -11.5 Combine like terms: 11.5 + -11.5 = 0.0 0.0 + 30b = -16.5 + -11.5 30b = -16.5 + -11.5 Combine like terms: -16.5 + -11.5 = -28 30b = -28 Divide each side by '30'. b = -0.9333333333 Simplifying b = -0.9333333333
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