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Simplifying 13.7b + -6.5 = -2.3b + 83 Reorder the terms: -6.5 + 13.7b = -2.3b + 83 Reorder the terms: -6.5 + 13.7b = 83 + -2.3b Solving -6.5 + 13.7b = 83 + -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 = 83 + -2.3b + 2.3b Combine like terms: 13.7b + 2.3b = 16b -6.5 + 16b = 83 + -2.3b + 2.3b Combine like terms: -2.3b + 2.3b = 0.0 -6.5 + 16b = 83 + 0.0 -6.5 + 16b = 83 Add '6.5' to each side of the equation. -6.5 + 6.5 + 16b = 83 + 6.5 Combine like terms: -6.5 + 6.5 = 0.0 0.0 + 16b = 83 + 6.5 16b = 83 + 6.5 Combine like terms: 83 + 6.5 = 89.5 16b = 89.5 Divide each side by '16'. b = 5.59375 Simplifying b = 5.59375
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