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Simplifying 7b + -4.2 = 3b + 9.1 Reorder the terms: -4.2 + 7b = 3b + 9.1 Reorder the terms: -4.2 + 7b = 9.1 + 3b Solving -4.2 + 7b = 9.1 + 3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. -4.2 + 7b + -3b = 9.1 + 3b + -3b Combine like terms: 7b + -3b = 4b -4.2 + 4b = 9.1 + 3b + -3b Combine like terms: 3b + -3b = 0 -4.2 + 4b = 9.1 + 0 -4.2 + 4b = 9.1 Add '4.2' to each side of the equation. -4.2 + 4.2 + 4b = 9.1 + 4.2 Combine like terms: -4.2 + 4.2 = 0.0 0.0 + 4b = 9.1 + 4.2 4b = 9.1 + 4.2 Combine like terms: 9.1 + 4.2 = 13.3 4b = 13.3 Divide each side by '4'. b = 3.325 Simplifying b = 3.325

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