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Simplifying -3.5 + -5.5(1 + -4.5b) = 18.5 -3.5 + (1 * -5.5 + -4.5b * -5.5) = 18.5 -3.5 + (-5.5 + 24.75b) = 18.5 Combine like terms: -3.5 + -5.5 = -9 -9 + 24.75b = 18.5 Solving -9 + 24.75b = 18.5 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 24.75b = 18.5 + 9 Combine like terms: -9 + 9 = 0 0 + 24.75b = 18.5 + 9 24.75b = 18.5 + 9 Combine like terms: 18.5 + 9 = 27.5 24.75b = 27.5 Divide each side by '24.75'. b = 1.111111111 Simplifying b = 1.111111111
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