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Simplifying 13.7b + -6.5 = 2.3b + 8.5 Reorder the terms: -6.5 + 13.7b = 2.3b + 8.5 Reorder the terms: -6.5 + 13.7b = 8.5 + 2.3b Solving -6.5 + 13.7b = 8.5 + 2.3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2.3b' to each side of the equation. -6.5 + 13.7b + -2.3b = 8.5 + 2.3b + -2.3b Combine like terms: 13.7b + -2.3b = 11.4b -6.5 + 11.4b = 8.5 + 2.3b + -2.3b Combine like terms: 2.3b + -2.3b = 0.0 -6.5 + 11.4b = 8.5 + 0.0 -6.5 + 11.4b = 8.5 Add '6.5' to each side of the equation. -6.5 + 6.5 + 11.4b = 8.5 + 6.5 Combine like terms: -6.5 + 6.5 = 0.0 0.0 + 11.4b = 8.5 + 6.5 11.4b = 8.5 + 6.5 Combine like terms: 8.5 + 6.5 = 15 11.4b = 15 Divide each side by '11.4'. b = 1.315789474 Simplifying b = 1.315789474
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