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Simplifying -14.46 + -1.8b = 3.5(b + 4.5) Reorder the terms: -14.46 + -1.8b = 3.5(4.5 + b) -14.46 + -1.8b = (4.5 * 3.5 + b * 3.5) -14.46 + -1.8b = (15.75 + 3.5b) Solving -14.46 + -1.8b = 15.75 + 3.5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3.5b' to each side of the equation. -14.46 + -1.8b + -3.5b = 15.75 + 3.5b + -3.5b Combine like terms: -1.8b + -3.5b = -5.3b -14.46 + -5.3b = 15.75 + 3.5b + -3.5b Combine like terms: 3.5b + -3.5b = 0.0 -14.46 + -5.3b = 15.75 + 0.0 -14.46 + -5.3b = 15.75 Add '14.46' to each side of the equation. -14.46 + 14.46 + -5.3b = 15.75 + 14.46 Combine like terms: -14.46 + 14.46 = 0.00 0.00 + -5.3b = 15.75 + 14.46 -5.3b = 15.75 + 14.46 Combine like terms: 15.75 + 14.46 = 30.21 -5.3b = 30.21 Divide each side by '-5.3'. b = -5.7 Simplifying b = -5.7
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