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Simplifying -2.6b + 31 = -0.2b + 54.76 Reorder the terms: 31 + -2.6b = -0.2b + 54.76 Reorder the terms: 31 + -2.6b = 54.76 + -0.2b Solving 31 + -2.6b = 54.76 + -0.2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '0.2b' to each side of the equation. 31 + -2.6b + 0.2b = 54.76 + -0.2b + 0.2b Combine like terms: -2.6b + 0.2b = -2.4b 31 + -2.4b = 54.76 + -0.2b + 0.2b Combine like terms: -0.2b + 0.2b = 0.0 31 + -2.4b = 54.76 + 0.0 31 + -2.4b = 54.76 Add '-31' to each side of the equation. 31 + -31 + -2.4b = 54.76 + -31 Combine like terms: 31 + -31 = 0 0 + -2.4b = 54.76 + -31 -2.4b = 54.76 + -31 Combine like terms: 54.76 + -31 = 23.76 -2.4b = 23.76 Divide each side by '-2.4'. b = -9.9 Simplifying b = -9.9
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