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Simplifying 13.7b + -7.5 = -2.3b + 8.5 Reorder the terms: -7.5 + 13.7b = -2.3b + 8.5 Reorder the terms: -7.5 + 13.7b = 8.5 + -2.3b Solving -7.5 + 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. -7.5 + 13.7b + 2.3b = 8.5 + -2.3b + 2.3b Combine like terms: 13.7b + 2.3b = 16b -7.5 + 16b = 8.5 + -2.3b + 2.3b Combine like terms: -2.3b + 2.3b = 0.0 -7.5 + 16b = 8.5 + 0.0 -7.5 + 16b = 8.5 Add '7.5' to each side of the equation. -7.5 + 7.5 + 16b = 8.5 + 7.5 Combine like terms: -7.5 + 7.5 = 0.0 0.0 + 16b = 8.5 + 7.5 16b = 8.5 + 7.5 Combine like terms: 8.5 + 7.5 = 16 16b = 16 Divide each side by '16'. b = 1 Simplifying b = 1
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