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Simplifying 5.4b + 1.8 = 6.1b + 30.5 Reorder the terms: 1.8 + 5.4b = 6.1b + 30.5 Reorder the terms: 1.8 + 5.4b = 30.5 + 6.1b Solving 1.8 + 5.4b = 30.5 + 6.1b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6.1b' to each side of the equation. 1.8 + 5.4b + -6.1b = 30.5 + 6.1b + -6.1b Combine like terms: 5.4b + -6.1b = -0.7b 1.8 + -0.7b = 30.5 + 6.1b + -6.1b Combine like terms: 6.1b + -6.1b = 0.0 1.8 + -0.7b = 30.5 + 0.0 1.8 + -0.7b = 30.5 Add '-1.8' to each side of the equation. 1.8 + -1.8 + -0.7b = 30.5 + -1.8 Combine like terms: 1.8 + -1.8 = 0.0 0.0 + -0.7b = 30.5 + -1.8 -0.7b = 30.5 + -1.8 Combine like terms: 30.5 + -1.8 = 28.7 -0.7b = 28.7 Divide each side by '-0.7'. b = -41 Simplifying b = -41
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