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Simplifying 3.7b + 7 = 8.1b + -12.4 Reorder the terms: 7 + 3.7b = 8.1b + -12.4 Reorder the terms: 7 + 3.7b = -12.4 + 8.1b Solving 7 + 3.7b = -12.4 + 8.1b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-8.1b' to each side of the equation. 7 + 3.7b + -8.1b = -12.4 + 8.1b + -8.1b Combine like terms: 3.7b + -8.1b = -4.4b 7 + -4.4b = -12.4 + 8.1b + -8.1b Combine like terms: 8.1b + -8.1b = 0.0 7 + -4.4b = -12.4 + 0.0 7 + -4.4b = -12.4 Add '-7' to each side of the equation. 7 + -7 + -4.4b = -12.4 + -7 Combine like terms: 7 + -7 = 0 0 + -4.4b = -12.4 + -7 -4.4b = -12.4 + -7 Combine like terms: -12.4 + -7 = -19.4 -4.4b = -19.4 Divide each side by '-4.4'. b = 4.409090909 Simplifying b = 4.409090909
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