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Simplifying -5.61 + -0.2b = 5.5(b + 2.4) Reorder the terms: -5.61 + -0.2b = 5.5(2.4 + b) -5.61 + -0.2b = (2.4 * 5.5 + b * 5.5) -5.61 + -0.2b = (13.2 + 5.5b) Solving -5.61 + -0.2b = 13.2 + 5.5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5.5b' to each side of the equation. -5.61 + -0.2b + -5.5b = 13.2 + 5.5b + -5.5b Combine like terms: -0.2b + -5.5b = -5.7b -5.61 + -5.7b = 13.2 + 5.5b + -5.5b Combine like terms: 5.5b + -5.5b = 0.0 -5.61 + -5.7b = 13.2 + 0.0 -5.61 + -5.7b = 13.2 Add '5.61' to each side of the equation. -5.61 + 5.61 + -5.7b = 13.2 + 5.61 Combine like terms: -5.61 + 5.61 = 0.00 0.00 + -5.7b = 13.2 + 5.61 -5.7b = 13.2 + 5.61 Combine like terms: 13.2 + 5.61 = 18.81 -5.7b = 18.81 Divide each side by '-5.7'. b = -3.3 Simplifying b = -3.3
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