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Simplifying -8.22 + -1.2b = 4.7(b + 3.9) Reorder the terms: -8.22 + -1.2b = 4.7(3.9 + b) -8.22 + -1.2b = (3.9 * 4.7 + b * 4.7) -8.22 + -1.2b = (18.33 + 4.7b) Solving -8.22 + -1.2b = 18.33 + 4.7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4.7b' to each side of the equation. -8.22 + -1.2b + -4.7b = 18.33 + 4.7b + -4.7b Combine like terms: -1.2b + -4.7b = -5.9b -8.22 + -5.9b = 18.33 + 4.7b + -4.7b Combine like terms: 4.7b + -4.7b = 0.0 -8.22 + -5.9b = 18.33 + 0.0 -8.22 + -5.9b = 18.33 Add '8.22' to each side of the equation. -8.22 + 8.22 + -5.9b = 18.33 + 8.22 Combine like terms: -8.22 + 8.22 = 0.00 0.00 + -5.9b = 18.33 + 8.22 -5.9b = 18.33 + 8.22 Combine like terms: 18.33 + 8.22 = 26.55 -5.9b = 26.55 Divide each side by '-5.9'. b = -4.5 Simplifying b = -4.5
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