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Simplifying 13.7b + -6.7 = 2.3b + 8.3 Reorder the terms: -6.7 + 13.7b = 2.3b + 8.3 Reorder the terms: -6.7 + 13.7b = 8.3 + 2.3b Solving -6.7 + 13.7b = 8.3 + 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. -6.7 + 13.7b + -2.3b = 8.3 + 2.3b + -2.3b Combine like terms: 13.7b + -2.3b = 11.4b -6.7 + 11.4b = 8.3 + 2.3b + -2.3b Combine like terms: 2.3b + -2.3b = 0.0 -6.7 + 11.4b = 8.3 + 0.0 -6.7 + 11.4b = 8.3 Add '6.7' to each side of the equation. -6.7 + 6.7 + 11.4b = 8.3 + 6.7 Combine like terms: -6.7 + 6.7 = 0.0 0.0 + 11.4b = 8.3 + 6.7 11.4b = 8.3 + 6.7 Combine like terms: 8.3 + 6.7 = 15 11.4b = 15 Divide each side by '11.4'. b = 1.315789474 Simplifying b = 1.315789474
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