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Simplifying 3.7b + 6 = 8.1b + -19.4 Reorder the terms: 6 + 3.7b = 8.1b + -19.4 Reorder the terms: 6 + 3.7b = -19.4 + 8.1b Solving 6 + 3.7b = -19.4 + 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. 6 + 3.7b + -8.1b = -19.4 + 8.1b + -8.1b Combine like terms: 3.7b + -8.1b = -4.4b 6 + -4.4b = -19.4 + 8.1b + -8.1b Combine like terms: 8.1b + -8.1b = 0.0 6 + -4.4b = -19.4 + 0.0 6 + -4.4b = -19.4 Add '-6' to each side of the equation. 6 + -6 + -4.4b = -19.4 + -6 Combine like terms: 6 + -6 = 0 0 + -4.4b = -19.4 + -6 -4.4b = -19.4 + -6 Combine like terms: -19.4 + -6 = -25.4 -4.4b = -25.4 Divide each side by '-4.4'. b = 5.772727273 Simplifying b = 5.772727273
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